Pith Number

pith:XUXPRELN

pith:2018:XUXPRELN3WTUHTNA4FBHWGLUEX

not attested not anchored not stored refs pending

Analytical properties for degenerate equations

Tobias Holck Colding, William P. Minicozzi II

arxiv:1804.08999 v1 · 2018-04-24 · math.DG · 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{XUXPRELN3WTUHTNA4FBHWGLUEX}

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	2026-05-18T00:17:36.635432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd2ef8916ddda743cda0e1427b197425cf955f25da43dbbb80c8840cef14799c

Aliases

arxiv: 1804.08999 · arxiv_version: 1804.08999v1 · doi: 10.48550/arxiv.1804.08999 · pith_short_12: XUXPRELN3WTU · pith_short_16: XUXPRELN3WTUHTNA · pith_short_8: XUXPRELN

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/XUXPRELN3WTUHTNA4FBHWGLUEX \
  | 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: bd2ef8916ddda743cda0e1427b197425cf955f25da43dbbb80c8840cef14799c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e803f337cbb2a0413764baf54413894259bcfe370a9a34518a62a6b8362365",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-24T12:58:40Z",
    "title_canon_sha256": "858ae381e0ce7671ce75700886ca5d082275224f780f08479dc85399474cd1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08999",
    "kind": "arxiv",
    "version": 1
  }
}