Pith Number

pith:P77V52XO

pith:2012:P77V52XOEKXP6OHJHUP42N3DFX

not attested not anchored not stored refs pending

A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)

Andrew Putman, Benson Farb, Thomas Church

arxiv:1208.3216 v3 · 2012-08-15 · math.GT · math.AT · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P77V52XOEKXP6OHJHUP42N3DFX}

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	2026-05-18T02:45:32.294912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fff5eeaee22aeff38e93d1fcd37632dd350af521a080c91b95d4071af499761

Aliases

arxiv: 1208.3216 · arxiv_version: 1208.3216v3 · doi: 10.48550/arxiv.1208.3216 · pith_short_12: P77V52XOEKXP · pith_short_16: P77V52XOEKXP6OHJ · pith_short_8: P77V52XO

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/P77V52XOEKXP6OHJHUP42N3DFX \
  | 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: 7fff5eeaee22aeff38e93d1fcd37632dd350af521a080c91b95d4071af499761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "960ba74d4e6aa6828212c8583268aab4b13f9c0145829f7abdf44c81e21d6a5b",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-15T20:34:25Z",
    "title_canon_sha256": "be8fbd5028f07de5f2fbe55d73febb031ea726d0350483d8813cd4403fc2e0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3216",
    "kind": "arxiv",
    "version": 3
  }
}