Pith Number

pith:L75UXBLK

pith:2017:L75UXBLK4SS5CGART2RUEYLOIW

not attested not anchored not stored refs pending

Axioms for the fixed point index of n-valued maps, and some applications

P. Christopher Staecker

arxiv:1707.09799 v1 · 2017-07-31 · math.AT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L75UXBLK4SS5CGART2RUEYLOIW}

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	2026-05-18T00:39:08.196030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ffb4b856ae4a5d118119ea342616e459f621249305570b9609b89b26dbf4c24

Aliases

arxiv: 1707.09799 · arxiv_version: 1707.09799v1 · doi: 10.48550/arxiv.1707.09799 · pith_short_12: L75UXBLK4SS5 · pith_short_16: L75UXBLK4SS5CGAR · pith_short_8: L75UXBLK

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/L75UXBLK4SS5CGART2RUEYLOIW \
  | 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: 5ffb4b856ae4a5d118119ea342616e459f621249305570b9609b89b26dbf4c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c974d84931baa30841f7559a2b302b96c1deccf1beae39c8a6fa9dceac60e2",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-31T10:53:49Z",
    "title_canon_sha256": "356f69a5c9ed3f578d76914f3ec52d01dcb34e1fec868aa17de11a4d19150ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09799",
    "kind": "arxiv",
    "version": 1
  }
}