Pith Number

pith:V55QB5NF

pith:2011:V55QB5NFN5G7NCGUKXZO3AMUAG

not attested not anchored not stored refs pending

Independence of hyperlogarithms over function fields via algebraic combinatorics

Allan I. Solomon (LPTMC), G\'erard Henry Edmond Duchamp (LIPN), Matthieu Deneufch\^atel (LIPN), Vincel Hoang Ngoc Minh (LIPN)

arxiv:1101.4497 v3 · 2011-01-24 · math.CO · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V55QB5NFN5G7NCGUKXZO3AMUAG}

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	2026-05-18T00:52:24.394265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7b00f5a56f4df688d455f2ed819401840370b67e17f66a3bf8c502cb77d712

Aliases

arxiv: 1101.4497 · arxiv_version: 1101.4497v3 · doi: 10.48550/arxiv.1101.4497 · pith_short_12: V55QB5NFN5G7 · pith_short_16: V55QB5NFN5G7NCGU · pith_short_8: V55QB5NF

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/V55QB5NFN5G7NCGUKXZO3AMUAG \
  | 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: af7b00f5a56f4df688d455f2ed819401840370b67e17f66a3bf8c502cb77d712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df782ce2fc9eb55a361d740a8b15760ff8b370e4aa94a8445bd19b08bb04494",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-24T11:07:32Z",
    "title_canon_sha256": "bb28b982006b32decadfc8846f55c77f768c16fe5aa30a00ba32df9dedd97a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4497",
    "kind": "arxiv",
    "version": 3
  }
}