Pith Number

pith:2XXHMTD7

pith:2007:2XXHMTD7EICDHB66U7ZXTWOLKM

not attested not anchored not stored refs pending

Logarithmic singularities of solutions to nonlinear partial differential equations

Hideshi Yamane, Hidetoshi Tahara

arxiv:math/0703870 v1 · 2007-03-29 · 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{2XXHMTD7EICDHB66U7ZXTWOLKM}

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	2026-05-18T02:42:06.469579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ee764c7f22043387dea7f379d9cb533110c560ffc52724e95cd9a3878f4e2c

Aliases

arxiv: math/0703870 · arxiv_version: math/0703870v1 · doi: 10.48550/arxiv.math/0703870 · pith_short_12: 2XXHMTD7EICD · pith_short_16: 2XXHMTD7EICDHB66 · pith_short_8: 2XXHMTD7

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/2XXHMTD7EICDHB66U7ZXTWOLKM \
  | 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: d5ee764c7f22043387dea7f379d9cb533110c560ffc52724e95cd9a3878f4e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1aa106318a5005daa62a151c04358c42af535d45b6b4bc70922423ece863d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-03-29T08:04:13Z",
    "title_canon_sha256": "4cd433e55a7a96b00e0519d1d71b82583f7f73de921e88b0c14988e53aa68e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703870",
    "kind": "arxiv",
    "version": 1
  }
}