Pith Number

pith:GBYAQEVY

pith:2016:GBYAQEVY6OKN5FNV332USKGAN4

not attested not anchored not stored refs pending

New explicit formulas for Faltings' delta-invariant

Robert Wilms

arxiv:1605.00847 v3 · 2016-05-03 · math.AG · 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{GBYAQEVY6OKN5FNV332USKGAN4}

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	2026-05-18T00:55:58.014625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30700812b8f394de95b5def54928c06f240505a9497e7692ca4f4342a2c5ab96

Aliases

arxiv: 1605.00847 · arxiv_version: 1605.00847v3 · doi: 10.48550/arxiv.1605.00847 · pith_short_12: GBYAQEVY6OKN · pith_short_16: GBYAQEVY6OKN5FNV · pith_short_8: GBYAQEVY

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/GBYAQEVY6OKN5FNV332USKGAN4 \
  | 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: 30700812b8f394de95b5def54928c06f240505a9497e7692ca4f4342a2c5ab96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138dddada37a862ef2ecbc892e99f4e9827e656a12dedf845cd10cf03d8c6023",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-03T11:40:42Z",
    "title_canon_sha256": "0f2ad725464330aced98bdd520029adad0b73d48107f42320ac87adae89496fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00847",
    "kind": "arxiv",
    "version": 3
  }
}