Pith Number

pith:UKSVRANC

pith:2013:UKSVRANCCRB4XSBKRODOCQQPEM

not attested not anchored not stored refs pending

Cocycle invariants of codimension 2-embeddings of manifolds

Jozef H. Przytycki (George Washington University, UG, UMCP), Witold Rosicki (University of Gdansk)

arxiv:1310.3030 v1 · 2013-10-11 · 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{UKSVRANCCRB4XSBKRODOCQQPEM}

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	2026-05-18T03:10:45.225831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a55881a21443cbc82a8b86e1420f231e58f01b89662de7d29205f0411e615c

Aliases

arxiv: 1310.3030 · arxiv_version: 1310.3030v1 · doi: 10.48550/arxiv.1310.3030 · pith_short_12: UKSVRANCCRB4 · pith_short_16: UKSVRANCCRB4XSBK · pith_short_8: UKSVRANC

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/UKSVRANCCRB4XSBKRODOCQQPEM \
  | 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: a2a55881a21443cbc82a8b86e1420f231e58f01b89662de7d29205f0411e615c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a82f09a58a194f274aa6dc83c9e77d772eab7bf6d1382b05fced2c58cef7623",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-11T06:36:50Z",
    "title_canon_sha256": "53626e282e0afcaa81e4294459e4e655cd289a81a649d901e10d0d97aadfc9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3030",
    "kind": "arxiv",
    "version": 1
  }
}