Pith Number

pith:NR4KNXNP

pith:2012:NR4KNXNPZTN5PS22VDUNEDL4AI

not attested not anchored not stored refs pending

Sur l'homologie des groupes d'automorphismes des groupes libres \`a coefficients polynomiaux

Aur\'elien Djament (LMJL), Christine Vespa (IRMA)

arxiv:1210.4030 v3 · 2012-10-15 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NR4KNXNPZTN5PS22VDUNEDL4AI}

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	2026-05-18T03:13:56.167643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c78a6ddafccdbd7cb5aa8e8d20d7c023c44eb4bb4d6c60868dde59d171b9b7c

Aliases

arxiv: 1210.4030 · arxiv_version: 1210.4030v3 · doi: 10.48550/arxiv.1210.4030 · pith_short_12: NR4KNXNPZTN5 · pith_short_16: NR4KNXNPZTN5PS22 · pith_short_8: NR4KNXNP

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/NR4KNXNPZTN5PS22VDUNEDL4AI \
  | 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: 6c78a6ddafccdbd7cb5aa8e8d20d7c023c44eb4bb4d6c60868dde59d171b9b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41513b60d5576b77af9da642976f91f899de92fa6446db8d3e9ac1b5bf2b1987",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-15T13:42:09Z",
    "title_canon_sha256": "f0cfc22f381869faaaf52a7f494df64da94baca66ba4a2e820ee7a3d26cd20af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4030",
    "kind": "arxiv",
    "version": 3
  }
}