Pith Number

pith:FXBYBOIL

pith:2016:FXBYBOIL5S6DN6JGZZVTDD63KJ

not attested not anchored not stored refs pending

A geometric characterisation of toric varieties

Hong Zong, James McKernan, Morgan Brown, Roberto Svaldi

arxiv:1605.08911 v1 · 2016-05-28 · 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{FXBYBOIL5S6DN6JGZZVTDD63KJ}

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	2026-05-18T00:15:24.826448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc380b90becbc36f926ce6b318fdb526350cbae5500b8f1c70b2a0b80983dd0

Aliases

arxiv: 1605.08911 · arxiv_version: 1605.08911v1 · doi: 10.48550/arxiv.1605.08911 · pith_short_12: FXBYBOIL5S6D · pith_short_16: FXBYBOIL5S6DN6JG · pith_short_8: FXBYBOIL

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/FXBYBOIL5S6DN6JGZZVTDD63KJ \
  | 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: 2dc380b90becbc36f926ce6b318fdb526350cbae5500b8f1c70b2a0b80983dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f02b569b5bb7931fbb2a67f93c784f8c4912353540d20586339ba6bcce9c91e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-28T16:45:10Z",
    "title_canon_sha256": "a412507156e7e73e35af9b1653f00ad1ea6f5abd56650b77db9f50a547a02307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08911",
    "kind": "arxiv",
    "version": 1
  }
}