Pith Number

pith:JB67JB4O

pith:2011:JB67JB4OW2E2BH4UP7R6KLDO4R

not attested not anchored not stored refs pending

Rational equivariant K-homology of low dimensional groups

Ivonne J. Ortiz, Jean-Fran\c{c}ois Lafont, Rub\'en J. S\'anchez-Garc\'ia

arxiv:1112.4393 v1 · 2011-12-19 · math.KT · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JB67JB4OW2E2BH4UP7R6KLDO4R}

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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	2026-05-18T03:27:01.808850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487df4878eb689a09f947fe3e52c6ee45d3b3422f5d2dd01039c98c677cec5c6

Aliases

arxiv: 1112.4393 · arxiv_version: 1112.4393v1 · doi: 10.48550/arxiv.1112.4393 · pith_short_12: JB67JB4OW2E2 · pith_short_16: JB67JB4OW2E2BH4U · pith_short_8: JB67JB4O

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/JB67JB4OW2E2BH4UP7R6KLDO4R \
  | 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: 487df4878eb689a09f947fe3e52c6ee45d3b3422f5d2dd01039c98c677cec5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78fc517d2bdf3687d5462fe7e11f66482b082502e86f56953f42318595512be",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-12-19T16:21:53Z",
    "title_canon_sha256": "46c84a3f9f4fb152d0b18054253e69970e709c89b714622c1ed029d299ceb5ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4393",
    "kind": "arxiv",
    "version": 1
  }
}