Pith Number

pith:7JMOKTJX

pith:2026:7JMOKTJXBF2GZGP2MSA7ABFSUN

not attested not anchored not stored refs pending

Sharp threshold for a one-dimensional thin film equation in the supercritical case

Shen Bian

arxiv:2605.15634 v1 · 2026-05-15 · 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{7JMOKTJXBF2GZGP2MSA7ABFSUN}

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	2026-05-20T00:01:09.247376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa58e54d3709746c99fa6481f004b2a37bae694fd65edab73eba67601b723e28

Aliases

arxiv: 2605.15634 · arxiv_version: 2605.15634v1 · doi: 10.48550/arxiv.2605.15634 · pith_short_12: 7JMOKTJXBF2G · pith_short_16: 7JMOKTJXBF2GZGP2 · pith_short_8: 7JMOKTJX

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/7JMOKTJXBF2GZGP2MSA7ABFSUN \
  | 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: fa58e54d3709746c99fa6481f004b2a37bae694fd65edab73eba67601b723e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e163d3595c20daba5e148d015a5af28ae5e04106fa9c58be9cf9a0ceeb6c70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-15T05:35:00Z",
    "title_canon_sha256": "4ae0e07edc44a508e4d3d79650f9d9c7da5dc807bec7bc8b3ac124f418b8ce7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15634",
    "kind": "arxiv",
    "version": 1
  }
}