Pith Number

pith:G7TFJTUK

pith:2007:G7TFJTUK5SZF4ZKUDVUDNXLPVT

not attested not anchored not stored refs pending

Equivariant Lefschetz maps for simplicial complexes and smooth manifolds

Heath Emerson, Ralf Meyer

arxiv:0711.0027 v3 · 2007-10-31 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7TFJTUK5SZF4ZKUDVUDNXLPVT}

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	2026-05-18T01:29:32.416888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e654ce8aecb25e65541d6836dd6facda9e6e96131d5675ff4945215d534a10

Aliases

arxiv: 0711.0027 · arxiv_version: 0711.0027v3 · doi: 10.48550/arxiv.0711.0027 · pith_short_12: G7TFJTUK5SZF · pith_short_16: G7TFJTUK5SZF4ZKU · pith_short_8: G7TFJTUK

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/G7TFJTUK5SZF4ZKUDVUDNXLPVT \
  | 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: 37e654ce8aecb25e65541d6836dd6facda9e6e96131d5675ff4945215d534a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872146fd8a2961095cc068d029c481a7508ff75dbb07e42e26858f4f599a47f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-10-31T22:21:49Z",
    "title_canon_sha256": "2e7df556221f4683a02ae5164bf5433b61ce60b23c5ddb765e3ccfe2439174a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0027",
    "kind": "arxiv",
    "version": 3
  }
}