Pith Number

pith:5IY33D5P

pith:2015:5IY33D5PI6FGPEHXEFNXF6TM57

not attested not anchored not stored refs pending

Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation

Hatem Zaag, Van Tien Nguyen

arxiv:1509.03520 v1 · 2015-09-11 · 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{5IY33D5PI6FGPEHXEFNXF6TM57}

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	2026-05-18T01:02:04.892433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea31bd8faf478a6790f7215b72fa6cefdf5eb7dc32a11eccde1568c52e622b86

Aliases

arxiv: 1509.03520 · arxiv_version: 1509.03520v1 · doi: 10.48550/arxiv.1509.03520 · pith_short_12: 5IY33D5PI6FG · pith_short_16: 5IY33D5PI6FGPEHX · pith_short_8: 5IY33D5P

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/5IY33D5PI6FGPEHXEFNXF6TM57 \
  | 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: ea31bd8faf478a6790f7215b72fa6cefdf5eb7dc32a11eccde1568c52e622b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662eb8ae9cc2d420b3cb7b4966b1040533313b10236bd3aa2bf5024b998f3ae5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-11T14:01:59Z",
    "title_canon_sha256": "73fa68e60210ea04a57ba317553d81b4f247e1039fee33e22ac31e6d79629067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03520",
    "kind": "arxiv",
    "version": 1
  }
}