Pith Number

pith:WHMS3M7E

pith:2016:WHMS3M7ENVXNBD66G35VMXRFUD

not attested not anchored not stored refs pending

Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term

Hatem Zaag, Tej-Eddine Ghoul, Van Tien Nguyen

arxiv:1611.02474 v1 · 2016-11-08 · 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{WHMS3M7ENVXNBD66G35VMXRFUD}

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	2026-05-18T00:46:59.333106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d92db3e46d6ed08fde36fb565e25a0eba53ad60f5a299f60223683efe1ff8f

Aliases

arxiv: 1611.02474 · arxiv_version: 1611.02474v1 · doi: 10.48550/arxiv.1611.02474 · pith_short_12: WHMS3M7ENVXN · pith_short_16: WHMS3M7ENVXNBD66 · pith_short_8: WHMS3M7E

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/WHMS3M7ENVXNBD66G35VMXRFUD \
  | 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: b1d92db3e46d6ed08fde36fb565e25a0eba53ad60f5a299f60223683efe1ff8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b83cbbb79821522e6440ea1bd4dd961b2d3117e1569cac2ff025f859f2eaa1d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-08T11:01:07Z",
    "title_canon_sha256": "da266a27ecbd85fecd423ea7d4206b172f4e48c6c3c5e130fd2c887f3f1fdcd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02474",
    "kind": "arxiv",
    "version": 1
  }
}