Pith Number

pith:TLIHDDNL

pith:2007:TLIHDDNLZ542NSRQMKD55OR3KV

not attested not anchored not stored refs pending

Self similar expanding solutions of the planar network flow

Mariel Saez, Rafe Mazzeo

arxiv:0704.3113 v1 · 2007-04-24 · 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{TLIHDDNLZ542NSRQMKD55OR3KV}

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	2026-07-04T15:01:02.475925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad0718dabcf79a6ca306287deba3b556340ea07ed1e743764a25d221422c79c

Aliases

arxiv: 0704.3113 · arxiv_version: 0704.3113v1 · doi: 10.48550/arxiv.0704.3113 · pith_short_12: TLIHDDNLZ542 · pith_short_16: TLIHDDNLZ542NSRQ · pith_short_8: TLIHDDNL

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/TLIHDDNLZ542NSRQMKD55OR3KV \
  | 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: 9ad0718dabcf79a6ca306287deba3b556340ea07ed1e743764a25d221422c79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901c36bc30c5834c8613ce95bd7c6c95ef0aadece7bee8b51f61b4f94664d513",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-04-24T04:12:38Z",
    "title_canon_sha256": "5813db45cc9aa8af3c9032fea7812d7c22309372d0364df47408a2cc7b7581d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3113",
    "kind": "arxiv",
    "version": 1
  }
}