Pith Number

pith:REGTSPST

pith:2015:REGTSPSTABW4364UBRNXAPHVJ7

not attested not anchored not stored refs pending

\'Etale homological stability and arithmetic statistics

Benson Farb, Jesse Wolfson

arxiv:1512.00415 v2 · 2015-12-01 · math.AG · math.AT · math.GT · 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{REGTSPSTABW4364UBRNXAPHVJ7}

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	2026-05-18T01:24:10.360963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

890d393e53006dcdfb940c5b703cf54fe9b37211a336fd4e24b7ee96be957fac

Aliases

arxiv: 1512.00415 · arxiv_version: 1512.00415v2 · doi: 10.48550/arxiv.1512.00415 · pith_short_12: REGTSPSTABW4 · pith_short_16: REGTSPSTABW4364U · pith_short_8: REGTSPST

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/REGTSPSTABW4364UBRNXAPHVJ7 \
  | 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: 890d393e53006dcdfb940c5b703cf54fe9b37211a336fd4e24b7ee96be957fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df6cf3b900c4659b5f31c34186c524ae14dcaa1d2fa221bc8cb70eba1eaf02c",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-01T20:14:13Z",
    "title_canon_sha256": "5acc7f930ddbfcc7ca30b4eb5aac08b8808781714c6882c5d390b1397a9a2a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00415",
    "kind": "arxiv",
    "version": 2
  }
}