Pith Number

pith:MMXSPX7J

pith:2025:MMXSPX7JMCLX6RCCUDMO5VOY3I

not attested not anchored not stored refs pending

Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations

Charles Collot, Christophe Prange, Jin Tan

arxiv:2507.17381 v1 · 2025-07-23 · 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{MMXSPX7JMCLX6RCCUDMO5VOY3I}

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	2026-07-05T11:42:06.667517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632f27dfe960977f4442a0d8eed5d8da2ac45c266233e594a51de6cdf0fbf62f

Aliases

arxiv: 2507.17381 · arxiv_version: 2507.17381v1 · doi: 10.48550/arxiv.2507.17381 · pith_short_12: MMXSPX7JMCLX · pith_short_16: MMXSPX7JMCLX6RCC · pith_short_8: MMXSPX7J

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/MMXSPX7JMCLX6RCCUDMO5VOY3I \
  | 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: 632f27dfe960977f4442a0d8eed5d8da2ac45c266233e594a51de6cdf0fbf62f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257e8aed5cb61b256327c3f18d0251de3ad312e665ea0dcac7de010c06d1b7c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-23T10:24:57Z",
    "title_canon_sha256": "c2eebaafb0761613df0b40a2ccabd6c981737a48c34bf6c03960948799d71657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17381",
    "kind": "arxiv",
    "version": 1
  }
}