Pith Number

pith:L4HLOQ6T

pith:2000:L4HLOQ6T7B42I3GB4ML37PE2J7

not attested not anchored not stored refs pending

Double point self-intersection surfaces of immersions

Mohammad A. Asadi-Golmankhaneh, Peter J. Eccles

arxiv:math/0003236 v1 · 2000-03-11 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4HLOQ6T7B42I3GB4ML37PE2J7}

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	2026-05-18T02:38:01.018822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0eb743d3f879a46cc1e317bfbc9a4feafcbcfe68e01fd7365db279e50f7a35

Aliases

arxiv: math/0003236 · arxiv_version: math/0003236v1 · doi: 10.48550/arxiv.math/0003236 · pith_short_12: L4HLOQ6T7B42 · pith_short_16: L4HLOQ6T7B42I3GB · pith_short_8: L4HLOQ6T

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/L4HLOQ6T7B42I3GB4ML37PE2J7 \
  | 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: 5f0eb743d3f879a46cc1e317bfbc9a4feafcbcfe68e01fd7365db279e50f7a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76817368f6cea038cd229b66006ab73b8819de5673ba9468d27a254112f88012",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-03-11T00:00:00Z",
    "title_canon_sha256": "cac41cda99b94f1d0649eea73dbf0be390a373953488cdcb2042cd4853857ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003236",
    "kind": "arxiv",
    "version": 1
  }
}