Pith Number

pith:Y4JMK3RS

pith:2013:Y4JMK3RSVNQXDCTDLXFDDCVZXP

not attested not anchored not stored refs pending

Filtrations of free groups as intersections

Ido Efrat

arxiv:1312.1811 v3 · 2013-12-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4JMK3RSVNQXDCTDLXFDDCVZXP}

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	2026-05-18T02:41:41.997440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c712c56e32ab61718a635dca318ab9bbd1f394be14e016a9c599ca8cb78c5ff6

Aliases

arxiv: 1312.1811 · arxiv_version: 1312.1811v3 · doi: 10.48550/arxiv.1312.1811 · pith_short_12: Y4JMK3RSVNQX · pith_short_16: Y4JMK3RSVNQXDCTD · pith_short_8: Y4JMK3RS

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/Y4JMK3RSVNQXDCTDLXFDDCVZXP \
  | 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: c712c56e32ab61718a635dca318ab9bbd1f394be14e016a9c599ca8cb78c5ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3176aff1a0b1488ca22ff9ca31158c64820513bde5a4f8216a7b2a68202b915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-06T09:18:41Z",
    "title_canon_sha256": "31db00fa287f829fc24b13550e699ad9c80deff63a308046d982a01db5c7f32e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1811",
    "kind": "arxiv",
    "version": 3
  }
}