Pith Number

pith:5JQV2WTA

pith:2008:5JQV2WTAGAWENM6D2SZDGLKTPR

not attested not anchored not stored refs pending

Enumerating Palindromes and Primitives in Rank Two Free Groups

Jane Gilman, Linda Keen

arxiv:0802.2731 v5 · 2008-02-19 · math.GR · math.CV · math.GT · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JQV2WTAGAWENM6D2SZDGLKTPR}

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	2026-05-18T04:28:55.907858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea615d5a60302c46b3c3d4b2332d537c4371cc819ea0f5af8e4fb5b3de27bafc

Aliases

arxiv: 0802.2731 · arxiv_version: 0802.2731v5 · doi: 10.48550/arxiv.0802.2731 · pith_short_12: 5JQV2WTAGAWE · pith_short_16: 5JQV2WTAGAWENM6D · pith_short_8: 5JQV2WTA

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/5JQV2WTAGAWENM6D2SZDGLKTPR \
  | 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: ea615d5a60302c46b3c3d4b2332d537c4371cc819ea0f5af8e4fb5b3de27bafc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32cafc844c9648a336dda9c2c1eea9f9be213dc0e9030e62670d565274cab74a",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-02-19T23:02:26Z",
    "title_canon_sha256": "7937794b2440a45fe5e3f84769a78d88a8dd6bce6003bbf35f9ff050b2152b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2731",
    "kind": "arxiv",
    "version": 5
  }
}