Pith Number

pith:Z3TP6BBZ

pith:2011:Z3TP6BBZFCSE7HWF6PI4HOEKFT

not attested not anchored not stored refs pending

On self-intersection invariants

Mark Grant

arxiv:1111.3248 v2 · 2011-11-14 · 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{Z3TP6BBZFCSE7HWF6PI4HOEKFT}

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	2026-05-18T03:49:10.388203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cee6ff043928a44f9ec5f3d1c3b88a2cc0b2729a7f0a622768e439c7bfe47fd2

Aliases

arxiv: 1111.3248 · arxiv_version: 1111.3248v2 · doi: 10.48550/arxiv.1111.3248 · pith_short_12: Z3TP6BBZFCSE · pith_short_16: Z3TP6BBZFCSE7HWF · pith_short_8: Z3TP6BBZ

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/Z3TP6BBZFCSE7HWF6PI4HOEKFT \
  | 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: cee6ff043928a44f9ec5f3d1c3b88a2cc0b2729a7f0a622768e439c7bfe47fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74fddd97ccd0adf4c33e061c03a776b3f38b804929c232952c1927b2686c312",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-14T15:30:59Z",
    "title_canon_sha256": "228d00f24d1926cdd3d7088111f97a9732c6486d79e3ea91255c5a958c5f3714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3248",
    "kind": "arxiv",
    "version": 2
  }
}