Pith Number

pith:LFAGM4O6

pith:2016:LFAGM4O6KDCGNAPHDLIDLDDKIE

not attested not anchored not stored refs pending

Characterization of projective spaces by Seshadri constants

Yuchen Liu, Ziquan Zhuang

arxiv:1607.05743 v3 · 2016-07-19 · 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{LFAGM4O6KDCGNAPHDLIDLDDKIE}

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	2026-05-18T00:03:20.017127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59406671de50c46681e71ad0358c6a4104b3309d1966774020e654d174d5f534

Aliases

arxiv: 1607.05743 · arxiv_version: 1607.05743v3 · doi: 10.48550/arxiv.1607.05743 · pith_short_12: LFAGM4O6KDCG · pith_short_16: LFAGM4O6KDCGNAPH · pith_short_8: LFAGM4O6

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/LFAGM4O6KDCGNAPHDLIDLDDKIE \
  | 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: 59406671de50c46681e71ad0358c6a4104b3309d1966774020e654d174d5f534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e288dcd39b3d8a44c92b5579daf0439cff4353a7796a74d934cc380c9101eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-19T20:10:12Z",
    "title_canon_sha256": "811e707955c4845e7e80943cba24bb599d6c4436f805ac7b8ed61477c5bc61d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05743",
    "kind": "arxiv",
    "version": 3
  }
}