Pith Number

pith:6QWJNM6N

pith:2012:6QWJNM6NMDSWUNKGWVT76YADKS

not attested not anchored not stored refs pending

The multiplicativity of fixed point invariants

Kate Ponto, Michael Shulman

arxiv:1203.0950 v3 · 2012-03-05 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QWJNM6NMDSWUNKGWVT76YADKS}

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	2026-05-18T02:41:43.358883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f42c96b3cd60e56a3546b567ff600354bd44f6df3fc85b98b6a807c842bdcc97

Aliases

arxiv: 1203.0950 · arxiv_version: 1203.0950v3 · doi: 10.48550/arxiv.1203.0950 · pith_short_12: 6QWJNM6NMDSW · pith_short_16: 6QWJNM6NMDSWUNKG · pith_short_8: 6QWJNM6N

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/6QWJNM6NMDSWUNKGWVT76YADKS \
  | 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: f42c96b3cd60e56a3546b567ff600354bd44f6df3fc85b98b6a807c842bdcc97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c758e61532dd7e5d0bba6ec22663280536524f47151e9e28d0b4677e3f422653",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-03-05T15:43:59Z",
    "title_canon_sha256": "7a6d03d70bdd61a20dd3bcaa87bf35a4bf1df78ff53bf130af4c077df3a0f93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0950",
    "kind": "arxiv",
    "version": 3
  }
}