Pith Number

pith:X2DBGPOH

pith:2008:X2DBGPOHG3OKYN5OLC3VGMHM65

not attested not anchored not stored refs pending

Numerical study of a flow of regular planar curves that develop singularities at finite time

Francisco de la Hoz

arxiv:0812.1153 v1 · 2008-12-05 · math.NA · cs.NA · 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{X2DBGPOHG3OKYN5OLC3VGMHM65}

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	2026-06-03T23:06:09.636581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be86133dc736dcac37ae58b75330ecf74bf9cc858cb40fdaaf64ef7f8dbbca8a

Aliases

arxiv: 0812.1153 · arxiv_version: 0812.1153v1 · doi: 10.48550/arxiv.0812.1153 · pith_short_12: X2DBGPOHG3OK · pith_short_16: X2DBGPOHG3OKYN5O · pith_short_8: X2DBGPOH

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/X2DBGPOHG3OKYN5OLC3VGMHM65 \
  | 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: be86133dc736dcac37ae58b75330ecf74bf9cc858cb40fdaaf64ef7f8dbbca8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294a3a4c02fcb2a4854b95b052465827e886454b199eae73ddde1c89f78cbe34",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-12-05T14:56:39Z",
    "title_canon_sha256": "986e950a4d74ef55c9b979ef9a252e0eb99dd71d0b434e064167774634941577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1153",
    "kind": "arxiv",
    "version": 1
  }
}