Pith Number

pith:YCOZVAUM

pith:2011:YCOZVAUM465Y3JEROQ2FCTOYFE

not attested not anchored not stored refs pending

Geometric coincidence results from multiplicity of continuous maps

R.N. Karasev

arxiv:1106.6176 v1 · 2011-06-30 · math.GT · 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{YCOZVAUM465Y3JEROQ2FCTOYFE}

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	2026-05-18T04:19:03.811573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09d9a828ce7bb8da4917434514dd82912f1441f575ebef76f57b480224a0617

Aliases

arxiv: 1106.6176 · arxiv_version: 1106.6176v1 · doi: 10.48550/arxiv.1106.6176 · pith_short_12: YCOZVAUM465Y · pith_short_16: YCOZVAUM465Y3JER · pith_short_8: YCOZVAUM

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/YCOZVAUM465Y3JEROQ2FCTOYFE \
  | 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: c09d9a828ce7bb8da4917434514dd82912f1441f575ebef76f57b480224a0617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61216ca0143391afef031d42bc6173dee93313ad9ee051593ed8ea3881aa38fa",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-30T10:20:55Z",
    "title_canon_sha256": "6efcc1f596cb67b65f2986c64a90db9954f57995ef3cfaf7f6e7087f0bf4055a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6176",
    "kind": "arxiv",
    "version": 1
  }
}