Pith Number

pith:BTMFXVDJ

pith:2018:BTMFXVDJ7TGJ5MR4ALUL2RS7KH

not attested not anchored not stored refs pending

Sign-changing blowing-up solutions for the critical nonlinear heat equation

Juncheng Wei, Manuel del Pino, Monica Musso, Youquan Zheng

arxiv:1811.00039 v1 · 2018-10-31 · 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{BTMFXVDJ7TGJ5MR4ALUL2RS7KH}

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	2026-05-18T00:01:48.416154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd85bd469fccc9eb23c02e8bd465f51c050e0db1cfbe73c88bc07d472bcee14

Aliases

arxiv: 1811.00039 · arxiv_version: 1811.00039v1 · doi: 10.48550/arxiv.1811.00039 · pith_short_12: BTMFXVDJ7TGJ · pith_short_16: BTMFXVDJ7TGJ5MR4 · pith_short_8: BTMFXVDJ

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/BTMFXVDJ7TGJ5MR4ALUL2RS7KH \
  | 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: 0cd85bd469fccc9eb23c02e8bd465f51c050e0db1cfbe73c88bc07d472bcee14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b26265a279c902e9cf58fac4b0a10a679aab7cd06ccc0baf32daaf894bc07fd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-31T18:05:09Z",
    "title_canon_sha256": "7f9c068eca33513a8b3c4eeab373a91a0cb991017cfa3a9676adb23446ae3ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00039",
    "kind": "arxiv",
    "version": 1
  }
}