Pith Number

pith:ABIBUXL4

pith:2015:ABIBUXL4G3C2DF4DQFUAH7D4D4

not attested not anchored not stored refs pending

An analogue of Vosper's Theorem for Extension Fields

Christine Bachoc, Gilles Zemor, Oriol Serra

arxiv:1501.00602 v2 · 2015-01-03 · math.NT · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABIBUXL4G3C2DF4DQFUAH7D4D4}

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	2026-05-17T23:52:08.775877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00501a5d7c36c5a19783816803fc7c1f3af77775ed80de225826833b498c4ee6

Aliases

arxiv: 1501.00602 · arxiv_version: 1501.00602v2 · doi: 10.48550/arxiv.1501.00602 · pith_short_12: ABIBUXL4G3C2 · pith_short_16: ABIBUXL4G3C2DF4D · pith_short_8: ABIBUXL4

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/ABIBUXL4G3C2DF4DQFUAH7D4D4 \
  | 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: 00501a5d7c36c5a19783816803fc7c1f3af77775ed80de225826833b498c4ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b50085585da5aba946c4876c2f32312c477e5980940602c3e51d0d7c656e7b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-03T20:28:47Z",
    "title_canon_sha256": "c2c22a67eda3bf00473691ed43abf0862a13f4e90bf0f458ad6b9bdf45875838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00602",
    "kind": "arxiv",
    "version": 2
  }
}