Pith Number

pith:FGWULXI6

pith:2016:FGWULXI6FR25QWCBXADNX5CW7O

not attested not anchored not stored refs pending

Remark on a theorem in Mumford's Red Book of Varieties and Schemes

Guanglian Zhang

arxiv:1612.06119 v1 · 2016-12-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGWULXI6FR25QWCBXADNX5CW7O}

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	2026-05-18T00:54:45.890532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29ad45dd1e2c75d85841b806dbf456fb99144664dca409bd6bcad320bd011734

Aliases

arxiv: 1612.06119 · arxiv_version: 1612.06119v1 · doi: 10.48550/arxiv.1612.06119 · pith_short_12: FGWULXI6FR25 · pith_short_16: FGWULXI6FR25QWCB · pith_short_8: FGWULXI6

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/FGWULXI6FR25QWCBXADNX5CW7O \
  | 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: 29ad45dd1e2c75d85841b806dbf456fb99144664dca409bd6bcad320bd011734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c0f02b376bb0109d5ad8ebdde42b323ed3996f8b58d2c3937eaea29c828d38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-19T10:56:12Z",
    "title_canon_sha256": "aa67246051bcc13c2084d4bad031ba9b8610bb866c52b1c6bb9a36dca0a15f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06119",
    "kind": "arxiv",
    "version": 1
  }
}