Pith Number

pith:ZELLILRP

pith:2015:ZELLILRP4SIUZUB2WZI7ONGAFV

not attested not anchored not stored refs pending

Tautological rings for high dimensional manifolds

Ilya Grigoriev, Oscar Randal-Williams, Soren Galatius

arxiv:1511.06445 v1 · 2015-11-19 · 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{ZELLILRP4SIUZUB2WZI7ONGAFV}

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	2026-05-17T23:53:34.318857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c916b42e2fe4914cd03ab651f734c02d70b9d3f62b44c82fa2cd09ff377aed9b

Aliases

arxiv: 1511.06445 · arxiv_version: 1511.06445v1 · doi: 10.48550/arxiv.1511.06445 · pith_short_12: ZELLILRP4SIU · pith_short_16: ZELLILRP4SIUZUB2 · pith_short_8: ZELLILRP

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/ZELLILRP4SIUZUB2WZI7ONGAFV \
  | 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: c916b42e2fe4914cd03ab651f734c02d70b9d3f62b44c82fa2cd09ff377aed9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af57a0ae4c5e53702c1f1e39ae0059ed1557e45660aaed9109742bcc8c02af6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-19T23:21:29Z",
    "title_canon_sha256": "0b86f7ace1fb299f870a89340677603e80ca11aeef85f75d6230e96db644b845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06445",
    "kind": "arxiv",
    "version": 1
  }
}