Pith Number

pith:2JRGIKIH

pith:2023:2JRGIKIHYZOBR7FH2TH5OUZSXS

not attested not anchored not stored refs pending

Morphisms from $\mathbb{P}^m$ to flag varieties

Peng Ren, Xinyi Fang

arxiv:2310.08151 v2 · 2023-10-12 · 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{2JRGIKIHYZOBR7FH2TH5OUZSXS}

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	2026-07-05T09:57:38.024547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d262642907c65c18fca7d4cfd75332bcbddaff10d32b78a4205d3b2965b1a1ed

Aliases

arxiv: 2310.08151 · arxiv_version: 2310.08151v2 · doi: 10.48550/arxiv.2310.08151 · pith_short_12: 2JRGIKIHYZOB · pith_short_16: 2JRGIKIHYZOBR7FH · pith_short_8: 2JRGIKIH

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/2JRGIKIHYZOBR7FH2TH5OUZSXS \
  | 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: d262642907c65c18fca7d4cfd75332bcbddaff10d32b78a4205d3b2965b1a1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f9293a55afdc3e2e858adcec98b78991c085d15087dcfad7d74e96fa1569ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-10-12T09:18:02Z",
    "title_canon_sha256": "90a694b501a35cfd3f4c7f094c8b9e658565f1a6f951b3055592698ae29479e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.08151",
    "kind": "arxiv",
    "version": 2
  }
}