Pith Number

pith:VBQTI3VE

pith:2016:VBQTI3VEL6EF5XS3KZGG4MDWUW

not attested not anchored not stored refs pending

Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation

Hatem Zaag, Tej-Eddine Ghoul, Van Tien Nguyen

arxiv:1610.05722 v2 · 2016-10-18 · 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{VBQTI3VEL6EF5XS3KZGG4MDWUW}

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	2026-05-18T00:46:59.400924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a861346ea45f885ede5b564c6e3076a58d322fec5eefbb515522c144b3e1fc91

Aliases

arxiv: 1610.05722 · arxiv_version: 1610.05722v2 · doi: 10.48550/arxiv.1610.05722 · pith_short_12: VBQTI3VEL6EF · pith_short_16: VBQTI3VEL6EF5XS3 · pith_short_8: VBQTI3VE

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/VBQTI3VEL6EF5XS3KZGG4MDWUW \
  | 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: a861346ea45f885ede5b564c6e3076a58d322fec5eefbb515522c144b3e1fc91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404ace9da8098a2401d4bfd9984152f823e818465053bc04631498da49e6f232",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-18T17:54:51Z",
    "title_canon_sha256": "2210a0679b9ad1abe22d0220212a8ca21e889316da7d49a630c47fafdf5fd304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05722",
    "kind": "arxiv",
    "version": 2
  }
}