Pith Number

pith:Y7CAX72O

pith:2013:Y7CAX72OEBXRIHFCIYX2UWZ652

not attested not anchored not stored refs pending

On the asymptotic behavior of a Boltzmann-type price formation model

Luis Caffarelli, Marie-Therese Wolfram, Martin Burger, Peter A. Markowich

arxiv:1312.1304 v1 · 2013-12-04 · 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{Y7CAX72OEBXRIHFCIYX2UWZ652}

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.

Receipt and verification

First computed	2026-05-18T03:05:28.863465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c40bff4e206f141ca2462faa5b3eee9a57abd2a532a6630a91452e73cec3e0

Aliases

arxiv: 1312.1304 · arxiv_version: 1312.1304v1 · doi: 10.48550/arxiv.1312.1304 · pith_short_12: Y7CAX72OEBXR · pith_short_16: Y7CAX72OEBXRIHFC · pith_short_8: Y7CAX72O

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/Y7CAX72OEBXRIHFCIYX2UWZ652 \
  | 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: c7c40bff4e206f141ca2462faa5b3eee9a57abd2a532a6630a91452e73cec3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550289d3b2192beacb4f8bd75927342c7a870e63a7649a95fcaf68a60261a2ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-04T19:57:25Z",
    "title_canon_sha256": "b6bccd273ff3aa8583dcb19fd8ab173481310598ba4ac3d9d98a368e0b943bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1304",
    "kind": "arxiv",
    "version": 1
  }
}