Pith Number

pith:MTFY3LCF

pith:2013:MTFY3LCFIQSOSU7I7ROIG7R4LM

not attested not anchored not stored refs pending

On Gromov's positive scalar curvature conjecture for virtual duality groups

Alexander Dranishnikov

arxiv:1312.2857 v1 · 2013-12-10 · math.GT · math.AT · math.DG · math.GN

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTFY3LCFIQSOSU7I7ROIG7R4LM}

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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	2026-05-18T03:05:08.238399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64cb8dac454424e953e8fc5c837e3c5b3891b81b21f8f8a8164969c403410a8c

Aliases

arxiv: 1312.2857 · arxiv_version: 1312.2857v1 · doi: 10.48550/arxiv.1312.2857 · pith_short_12: MTFY3LCFIQSO · pith_short_16: MTFY3LCFIQSOSU7I · pith_short_8: MTFY3LCF

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/MTFY3LCFIQSOSU7I7ROIG7R4LM \
  | 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: 64cb8dac454424e953e8fc5c837e3c5b3891b81b21f8f8a8164969c403410a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a6ca2dc9494b76e3a26453f1b2ae3038838bce5fa14e6f96d1b2526197d0aa",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-10T16:23:53Z",
    "title_canon_sha256": "73377d4daebfdd72072a8aa558738a584ba1d8065687f9dbf04f9adb0a50f446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2857",
    "kind": "arxiv",
    "version": 1
  }
}