Pith Number

pith:RE5I54TE

pith:2016:RE5I54TEPY3TR5G72NM7GZ7J36

not attested not anchored not stored refs pending

Multi-point Seshadri constants on ruled surfaces

Alapan Mukhopadhyay, Krishna Hanumanthu

arxiv:1610.07812 v2 · 2016-10-25 · 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{RE5I54TEPY3TR5G72NM7GZ7J36}

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	2026-05-18T00:52:14.312170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

893a8ef2647e3738f4dfd359f367e9df9a86b7a9d359c1defd8157e6ce5ce661

Aliases

arxiv: 1610.07812 · arxiv_version: 1610.07812v2 · doi: 10.48550/arxiv.1610.07812 · pith_short_12: RE5I54TEPY3T · pith_short_16: RE5I54TEPY3TR5G7 · pith_short_8: RE5I54TE

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/RE5I54TEPY3TR5G72NM7GZ7J36 \
  | 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: 893a8ef2647e3738f4dfd359f367e9df9a86b7a9d359c1defd8157e6ce5ce661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00805b7735c816e30a1f60f25623252b9347ab777d1a2f63760fcdce3dcf5cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-25T10:06:22Z",
    "title_canon_sha256": "a49233623939c5c90f02c28d354e6efde6a0f4c643231c45d10eb9fa39160b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07812",
    "kind": "arxiv",
    "version": 2
  }
}