Pith Number

pith:JUNYJZB4

pith:2017:JUNYJZB4NFXOR2G4RKU5W5L23Z

not attested not anchored not stored refs pending

Frobenius-Seshadri constants and characterizations of projective space

Takumi Murayama

arxiv:1701.00511 v3 · 2017-01-02 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUNYJZB4NFXOR2G4RKU5W5L23Z}

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	2026-05-17T23:46:55.769105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1b84e43c696ee8e8dc8aa9db757ade4a0aa72adcd8e62e726f162848079339

Aliases

arxiv: 1701.00511 · arxiv_version: 1701.00511v3 · doi: 10.48550/arxiv.1701.00511 · pith_short_12: JUNYJZB4NFXO · pith_short_16: JUNYJZB4NFXOR2G4 · pith_short_8: JUNYJZB4

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/JUNYJZB4NFXOR2G4RKU5W5L23Z \
  | 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: 4d1b84e43c696ee8e8dc8aa9db757ade4a0aa72adcd8e62e726f162848079339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd00bc9167e21949b32086ec8b952c45b88df7dd5c4063062391e4e4ba16a177",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-02T20:08:54Z",
    "title_canon_sha256": "4aa046b8f315c29daf5aded07619ff97c3b46ce4aa22ae322da7aa0bc8e49e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00511",
    "kind": "arxiv",
    "version": 3
  }
}