Pith Number

pith:2ESOSNYO

pith:2007:2ESOSNYO4JDZVSITAFZC5SLDJS

not attested not anchored not stored refs pending

On convergence of solutions of fractal Burgers equation toward rarefaction waves

Changxing Miao, Grzegorz Karch, Xiaojing Xu

arxiv:math/0702088 v1 · 2007-02-05 · 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{2ESOSNYO4JDZVSITAFZC5SLDJS}

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	2026-07-04T15:14:59.063926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d124e9370ee2479ac91301722ec9634c8c3a0138de6e039a33dbaf3a6e00117a

Aliases

arxiv: math/0702088 · arxiv_version: math/0702088v1 · doi: 10.48550/arxiv.math/0702088 · pith_short_12: 2ESOSNYO4JDZ · pith_short_16: 2ESOSNYO4JDZVSIT · pith_short_8: 2ESOSNYO

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/2ESOSNYO4JDZVSITAFZC5SLDJS \
  | 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: d124e9370ee2479ac91301722ec9634c8c3a0138de6e039a33dbaf3a6e00117a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5df46fa30e666e2531458695ecc028c3729d03e81f36ef8cf29db4c559c502",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-02-05T00:14:10Z",
    "title_canon_sha256": "bbc15189adbaf3f4b1ffb78726d6b3b434ed13c76ca10719e9940cbfd8e474f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702088",
    "kind": "arxiv",
    "version": 1
  }
}