Pith Number

pith:NQL4ZOB2

pith:2011:NQL4ZOB2NYK2CNLG4IPJDGL45I

not attested not anchored not stored refs pending

A Filtration of Unoriented Cobordism

Mark Mahowald, Mehdi Khorami

arxiv:1111.5863 v1 · 2011-11-24 · 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{NQL4ZOB2NYK2CNLG4IPJDGL45I}

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	2026-05-18T04:07:42.110355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c17ccb83a6e15a13566e21e91997cea2fe25a8a6c61cfa9c1fe6ac74bc7bc5c

Aliases

arxiv: 1111.5863 · arxiv_version: 1111.5863v1 · doi: 10.48550/arxiv.1111.5863 · pith_short_12: NQL4ZOB2NYK2 · pith_short_16: NQL4ZOB2NYK2CNLG · pith_short_8: NQL4ZOB2

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/NQL4ZOB2NYK2CNLG4IPJDGL45I \
  | 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: 6c17ccb83a6e15a13566e21e91997cea2fe25a8a6c61cfa9c1fe6ac74bc7bc5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab49ffbc2be5032e4894ceea55a8ea9151d502f9a7885595e4f041eb00719693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-24T22:13:38Z",
    "title_canon_sha256": "78269f30dd031fd18bf7c6c66f2d64c7c35ff14e026a1137048fb1030aed25a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5863",
    "kind": "arxiv",
    "version": 1
  }
}