Pith Number

pith:AKLNLF25

pith:2019:AKLNLF25SFEQJLUGKKCHOAM3OY

not attested not anchored not stored refs pending

The cohomology of Torelli groups is algebraic

Alexander Kupers, Oscar Randal-Williams

arxiv:1908.04724 v3 · 2019-08-13 · 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{AKLNLF25SFEQJLUGKKCHOAM3OY}

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	2026-07-05T02:01:09.591341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0296d5975d914904ae86528477019b763105dc52688e7aa0a2c3bb49e27ead7f

Aliases

arxiv: 1908.04724 · arxiv_version: 1908.04724v3 · doi: 10.48550/arxiv.1908.04724 · pith_short_12: AKLNLF25SFEQ · pith_short_16: AKLNLF25SFEQJLUG · pith_short_8: AKLNLF25

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/AKLNLF25SFEQJLUGKKCHOAM3OY \
  | 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: 0296d5975d914904ae86528477019b763105dc52688e7aa0a2c3bb49e27ead7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82ca07f3a570853c96bf6fb1052b78655a9d238da8e83bbea8df052e1faf893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-13T16:34:16Z",
    "title_canon_sha256": "abd8f35ec6a95ed6afe5ef6951ee3904581954874e28528be15bb4f295f670ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04724",
    "kind": "arxiv",
    "version": 3
  }
}