Pith Number

pith:PQFJCU2N

pith:2025:PQFJCU2NJQKWQGRBTP4C75YKD3

not attested not anchored not stored refs pending

Shock formation in 1D conservation laws II: Vanishing viscosity

Cole Graham, John Anderson, Sanchit Chaturvedi

arxiv:2506.17156 v1 · 2025-06-20 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQFJCU2NJQKWQGRBTP4C75YKD3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks

Local Asymptotic Patterns for Viscous Approximations of Conservation Laws

Receipt and verification

First computed	2026-07-05T11:24:57.164225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0a91534d4c15681a219bf82ff70a1ece4e844d103b751dc934501df58bdf17

Aliases

arxiv: 2506.17156 · arxiv_version: 2506.17156v1 · doi: 10.48550/arxiv.2506.17156 · pith_short_12: PQFJCU2NJQKW · pith_short_16: PQFJCU2NJQKWQGRB · pith_short_8: PQFJCU2N

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PQFJCU2NJQKWQGRBTP4C75YKD3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7c0a91534d4c15681a219bf82ff70a1ece4e844d103b751dc934501df58bdf17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0051c89178be1613c080ae2f46faa541b3d27ca4c1c196d355b69bc4650ab1ce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-20T17:00:19Z",
    "title_canon_sha256": "235c112eda8294b7c268de29393c48f0a9aa4fb2973059cc7cb577a271b5dc57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17156",
    "kind": "arxiv",
    "version": 1
  }
}