Pith Number

pith:BDAWOYKM

pith:2011:BDAWOYKMR262JENXVGV3ADVBYU

not attested not anchored not stored refs pending

Turn graphs and extremal surfaces in free groups

Matt Clay, Max Forester, Noel Brady

arxiv:1104.5221 v1 · 2011-04-27 · math.GT · 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{BDAWOYKMR262JENXVGV3ADVBYU}

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	2026-05-18T01:04:50.951992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c167614c8ebda491b7a9abb00ea1c52ecd1feb478f22ddaaf99d74b42cd602

Aliases

arxiv: 1104.5221 · arxiv_version: 1104.5221v1 · doi: 10.48550/arxiv.1104.5221 · pith_short_12: BDAWOYKMR262 · pith_short_16: BDAWOYKMR262JENX · pith_short_8: BDAWOYKM

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/BDAWOYKMR262JENXVGV3ADVBYU \
  | 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: 08c167614c8ebda491b7a9abb00ea1c52ecd1feb478f22ddaaf99d74b42cd602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2222cf3cb1478db27f6264f8e4a4367688f44e3345e907167172810d0577ddb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-04-27T19:32:34Z",
    "title_canon_sha256": "3e5e365e26cbdf421e08427e04858365f4300ada00930d9361a2da7f32e866b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5221",
    "kind": "arxiv",
    "version": 1
  }
}