Pith Number

pith:UJGUPLDW

pith:2012:UJGUPLDWEBWJMLTPFRVUWFJKRH

not attested not anchored not stored refs pending

A note on Freiman models in Heisenberg groups

Fran\c{c}ois Hennecart, Norbert Hegyv\'ari

arxiv:1207.0209 v1 · 2012-07-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJGUPLDWEBWJMLTPFRVUWFJKRH}

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	2026-05-18T03:51:59.879041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24d47ac76206c962e6f2c6b4b152a89e675e46540cb757fa7ecc31093b57582

Aliases

arxiv: 1207.0209 · arxiv_version: 1207.0209v1 · doi: 10.48550/arxiv.1207.0209 · pith_short_12: UJGUPLDWEBWJ · pith_short_16: UJGUPLDWEBWJMLTP · pith_short_8: UJGUPLDW

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/UJGUPLDWEBWJMLTPFRVUWFJKRH \
  | 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: a24d47ac76206c962e6f2c6b4b152a89e675e46540cb757fa7ecc31093b57582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89981eaaf75ce605203a18c328535893bc0185872e49c5d8fb0bdcd2730096a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-01T13:56:05Z",
    "title_canon_sha256": "abe1e7859482a7f3b13cd416aaa4f659f0fe2532e81647455e6258d418d5909f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0209",
    "kind": "arxiv",
    "version": 1
  }
}