Pith Number

pith:7PEE5OSD

pith:2012:7PEE5OSDNBVZ5RMBP5CVOS2JMN

not attested not anchored not stored refs pending

Context-free rewriting systems and word-hyperbolic structures with uniqueness

Alan J. Cain, Victor Maltcev

arxiv:1201.6616 v1 · 2012-01-31 · 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{7PEE5OSDNBVZ5RMBP5CVOS2JMN}

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	2026-05-18T01:29:51.768927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc84eba43686b9ec5817f45574b49635b8f1475e310a93787b71e1de737e937

Aliases

arxiv: 1201.6616 · arxiv_version: 1201.6616v1 · doi: 10.48550/arxiv.1201.6616 · pith_short_12: 7PEE5OSDNBVZ · pith_short_16: 7PEE5OSDNBVZ5RMB · pith_short_8: 7PEE5OSD

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/7PEE5OSDNBVZ5RMBP5CVOS2JMN \
  | 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: fbc84eba43686b9ec5817f45574b49635b8f1475e310a93787b71e1de737e937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e08b6f343d4d0ebe5649301e702fe3c7772d6a2205d8175abdb39697e5f274e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-31T16:58:54Z",
    "title_canon_sha256": "9f25dac9b8972eadf7ea6203790665d34300420f621294e3aae1d5f70efff145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6616",
    "kind": "arxiv",
    "version": 1
  }
}