Pith Number

pith:4D5SUORQ

pith:2014:4D5SUORQPBZ5SG2ZEL4BMJLECV

not attested not anchored not stored refs pending

Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of $\mathbb{F}_2$ and $\mathbb{F}_3$

Julia Pieltant, St\'ephane Ballet

arxiv:1409.3440 v1 · 2014-09-11 · math.AG · cs.IT · 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{4D5SUORQPBZ5SG2ZEL4BMJLECV}

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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	2026-05-18T02:43:01.374990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fb2a3a307873d91b5922f81625641564eaae09a1c6276bc322ddebf38e1de9

Aliases

arxiv: 1409.3440 · arxiv_version: 1409.3440v1 · doi: 10.48550/arxiv.1409.3440 · pith_short_12: 4D5SUORQPBZ5 · pith_short_16: 4D5SUORQPBZ5SG2Z · pith_short_8: 4D5SUORQ

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/4D5SUORQPBZ5SG2ZEL4BMJLECV \
  | 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: e0fb2a3a307873d91b5922f81625641564eaae09a1c6276bc322ddebf38e1de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8cb3baddad3f296fe16ab6fff660793d205989e8d32244990b59550766141b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-11T14:00:28Z",
    "title_canon_sha256": "bcd7961d88beb605d8ceb508649cee955b63683ca340d750e2530efd694a5552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3440",
    "kind": "arxiv",
    "version": 1
  }
}