Pith Number

pith:IKOCEV4U

pith:2005:IKOCEV4U2PKDS6HNVASRRULMQC

not attested not anchored not stored refs pending

Bordism Groups of Immersions and Classes Represented by Self-Intersections

Mark Grant, Peter J. Eccles

arxiv:math/0504152 v1 · 2005-04-07 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKOCEV4U2PKDS6HNVASRRULMQC}

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	2026-05-18T02:41:32.063941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

429c225794d3d43978eda82518d16c808c9b8c53a07a2e24d16c45b56fb8b40b

Aliases

arxiv: math/0504152 · arxiv_version: math/0504152v1 · doi: 10.48550/arxiv.math/0504152 · pith_short_12: IKOCEV4U2PKD · pith_short_16: IKOCEV4U2PKDS6HN · pith_short_8: IKOCEV4U

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/IKOCEV4U2PKDS6HNVASRRULMQC \
  | 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: 429c225794d3d43978eda82518d16c808c9b8c53a07a2e24d16c45b56fb8b40b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d33bb332a5e59fe201a1fe5b244a9d66653ace4de10a5e32b49ff39a0378da9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-04-07T18:21:35Z",
    "title_canon_sha256": "75f10e6c32704439664264b6b437f9d79f0b894f07401fbd46daed6fe3a882a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504152",
    "kind": "arxiv",
    "version": 1
  }
}