Pith Number

pith:XOV6QDSF

pith:2013:XOV6QDSFWOYOK2PSF7SDKCYDWJ

not attested not anchored not stored refs pending

Growth of Primitive Elements in Free Groups

Conan Wu, Doron Puder

arxiv:1304.7979 v3 · 2013-04-30 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOV6QDSFWOYOK2PSF7SDKCYDWJ}

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	2026-05-18T02:39:32.257081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbabe80e45b3b0e569f22fe4350b03b244fd53cafc57203c84c6072e6469fbf1

Aliases

arxiv: 1304.7979 · arxiv_version: 1304.7979v3 · doi: 10.48550/arxiv.1304.7979 · pith_short_12: XOV6QDSFWOYO · pith_short_16: XOV6QDSFWOYOK2PS · pith_short_8: XOV6QDSF

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/XOV6QDSFWOYOK2PSF7SDKCYDWJ \
  | 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: bbabe80e45b3b0e569f22fe4350b03b244fd53cafc57203c84c6072e6469fbf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07466414495596d9c5ffc81cb4f0220438be2d1c5e7a825db552224b1fab9542",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-30T13:02:07Z",
    "title_canon_sha256": "f35fe3fb63d5aaf8aa9c21c79fade91c4cefcb3b6e7fe757e56abecdef424207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7979",
    "kind": "arxiv",
    "version": 3
  }
}