Pith Number

pith:H7JH7QVB

pith:2014:H7JH7QVBLAO6LPLZNAHXCUXACL

not attested not anchored not stored refs pending

Spectral rigidity for primitive elements of $F_N$

Camille Horbez

arxiv:1405.4624 v1 · 2014-05-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7JH7QVBLAO6LPLZNAHXCUXACL}

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	2026-05-18T02:51:35.054451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fd27fc2a1581de5bd79680f7152e012cdaba97d80743f97531130cba4f388d8

Aliases

arxiv: 1405.4624 · arxiv_version: 1405.4624v1 · doi: 10.48550/arxiv.1405.4624 · pith_short_12: H7JH7QVBLAO6 · pith_short_16: H7JH7QVBLAO6LPLZ · pith_short_8: H7JH7QVB

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/H7JH7QVBLAO6LPLZNAHXCUXACL \
  | 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: 3fd27fc2a1581de5bd79680f7152e012cdaba97d80743f97531130cba4f388d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "023c2c3b526bc882d97b32e05a279bfee2152d27864545609fa3c8719c15583c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-19T07:25:45Z",
    "title_canon_sha256": "e1bfa9fff94fd74ee91af60bab00db03ec4c58a3aaddc719b0632bae635cd688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4624",
    "kind": "arxiv",
    "version": 1
  }
}