Pith Number

pith:BTWL2WNC

pith:2015:BTWL2WNCEKTKJOLKRJ3R4OXGXS

not attested not anchored not stored refs pending

Existence of a Stable Blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term

Hatem Zaag, Slim Tayachi

arxiv:1506.08306 v1 · 2015-06-27 · 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{BTWL2WNCEKTKJOLKRJ3R4OXGXS}

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	2026-05-18T01:37:46.833511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cecbd59a222a6a4b96a8a771e3ae6bc8e5669314ef698ae25e5f10248bde2bd

Aliases

arxiv: 1506.08306 · arxiv_version: 1506.08306v1 · doi: 10.48550/arxiv.1506.08306 · pith_short_12: BTWL2WNCEKTK · pith_short_16: BTWL2WNCEKTKJOLK · pith_short_8: BTWL2WNC

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/BTWL2WNCEKTKJOLKRJ3R4OXGXS \
  | 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: 0cecbd59a222a6a4b96a8a771e3ae6bc8e5669314ef698ae25e5f10248bde2bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c797f69f037842c025c00198a1784e745ee8a97242aceba0c4b6e91497b26893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-27T16:08:28Z",
    "title_canon_sha256": "ba07d627e6cfb40ebfcb75a9d54d906dfc3400befdda3cf8cd8da117d44714e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08306",
    "kind": "arxiv",
    "version": 1
  }
}