Pith Number

pith:X3EEIOLO

pith:2014:X3EEIOLOVVIQHYSQMB5XK53Y4G

not attested not anchored not stored refs pending

Infinitely presented graphical small cancellation groups are acylindrically hyperbolic

Alessandro Sisto, Dominik Gruber

arxiv:1408.4488 v3 · 2014-08-19 · 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{X3EEIOLOVVIQHYSQMB5XK53Y4G}

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	2026-05-18T01:21:05.403217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec844396ead5103e250607b757778e19f107b811fcb621943ba6ff3ad0236c4

Aliases

arxiv: 1408.4488 · arxiv_version: 1408.4488v3 · doi: 10.48550/arxiv.1408.4488 · pith_short_12: X3EEIOLOVVIQ · pith_short_16: X3EEIOLOVVIQHYSQ · pith_short_8: X3EEIOLO

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/X3EEIOLOVVIQHYSQMB5XK53Y4G \
  | 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: bec844396ead5103e250607b757778e19f107b811fcb621943ba6ff3ad0236c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bac356b5eb996b4809063d51dd7960bcf6f70f3544e16b05e02bcfe0cc2af9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-19T21:53:15Z",
    "title_canon_sha256": "a9085b24ec4e2f1d498d8be79ea18caf5e9363ace1708c37fc1c60a248e0b46c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4488",
    "kind": "arxiv",
    "version": 3
  }
}