Pith Number

pith:VPLDII44

pith:2005:VPLDII44IAKZKHYJRRUNIXURN7

not attested not anchored not stored refs pending

Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

James Isenberg, Lars Andersson, Paul Allen

arxiv:math/0512036 v1 · 2005-12-01 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPLDII44IAKZKHYJRRUNIXURN7}

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	2026-07-04T14:52:12.484541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd634239c4015951f098c68d45e916ffd86b7d351e5fc52e8dcf2adcd5e9964

Aliases

arxiv: math/0512036 · arxiv_version: math/0512036v1 · doi: 10.48550/arxiv.math/0512036 · pith_short_12: VPLDII44IAKZ · pith_short_16: VPLDII44IAKZKHYJ · pith_short_8: VPLDII44

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/VPLDII44IAKZKHYJRRUNIXURN7 \
  | 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: abd634239c4015951f098c68d45e916ffd86b7d351e5fc52e8dcf2adcd5e9964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e9ede67f48ee6ab2112636a475b7b353ea11c3416d1f9b84928b08321fcb76e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-12-01T19:07:56Z",
    "title_canon_sha256": "a5b2d40aac0c619034404649c269f54dc26dbf40908ec89743e95ca6f2878548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512036",
    "kind": "arxiv",
    "version": 1
  }
}