Pith Number

pith:XIJLMQ6A

pith:2013:XIJLMQ6AMYQQZU4WUOF3I6XXZF

not attested not anchored not stored refs pending

Degenerate parabolic stochastic partial differential equations: Quasilinear case

Arnaud Debussche, Julien Vovelle, Martina Hofmanov\'a

arxiv:1309.5817 v2 · 2013-09-23 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIJLMQ6AMYQQZU4WUOF3I6XXZF}

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	2026-05-18T01:09:32.539656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba12b643c066210cd396a38bb47af7c945e42afa4e830d3ae6148c4d024afced

Aliases

arxiv: 1309.5817 · arxiv_version: 1309.5817v2 · doi: 10.48550/arxiv.1309.5817 · pith_short_12: XIJLMQ6AMYQQ · pith_short_16: XIJLMQ6AMYQQZU4W · pith_short_8: XIJLMQ6A

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/XIJLMQ6AMYQQZU4WUOF3I6XXZF \
  | 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: ba12b643c066210cd396a38bb47af7c945e42afa4e830d3ae6148c4d024afced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6730241ecd6c754117364cc899937814cfeb6db69858a357c6de58c0783431",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-23T14:19:35Z",
    "title_canon_sha256": "8ec167a7838b27e1197e8b326353abd3039f4578ca41c62f4a463c9931044039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5817",
    "kind": "arxiv",
    "version": 2
  }
}