Pith Number

pith:RJNAUJGH

pith:2017:RJNAUJGHNJIK5UACZQSEJCYIL6

not attested not anchored not stored refs pending

The Shock Development Problem

Demetrios Christodoulou

arxiv:1705.00828 v1 · 2017-05-02 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJNAUJGHNJIK5UACZQSEJCYIL6}

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

1 paper in Pith

Extending Israel-Stewart theory: Causal bulk viscosity at large gradients

Receipt and verification

First computed	2026-05-18T00:45:09.668452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a5a0a24c76a50aed002cc24448b085fbd8f02eb39af54207fb275460e6f61f4

Aliases

arxiv: 1705.00828 · arxiv_version: 1705.00828v1 · doi: 10.48550/arxiv.1705.00828 · pith_short_12: RJNAUJGHNJIK · pith_short_16: RJNAUJGHNJIK5UAC · pith_short_8: RJNAUJGH

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/RJNAUJGHNJIK5UACZQSEJCYIL6 \
  | 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: 8a5a0a24c76a50aed002cc24448b085fbd8f02eb39af54207fb275460e6f61f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de927c37772af89eb6a1d396de80af7915254b1de143af83d70e214f77d042b",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-02T07:24:30Z",
    "title_canon_sha256": "4e75636cdf31fb2a0f132e4b85ef40b42342b6b7f9d1aba74522df8774ae9930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00828",
    "kind": "arxiv",
    "version": 1
  }
}