Pith Number

pith:CSEPPTJU

pith:2015:CSEPPTJUIL3P6KRSSRX243SWZJ

not attested not anchored not stored refs pending

Geometrically Nilpotent Subvarieties

Alexander Borisov

arxiv:1505.03237 v1 · 2015-05-13 · math.NT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSEPPTJUIL3P6KRSSRX243SWZJ}

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	2026-05-18T02:12:09.919227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1488f7cd3442f6ff2a32946fae6e56ca41ee25e49be0e6b0bb9c4d20328e03bd

Aliases

arxiv: 1505.03237 · arxiv_version: 1505.03237v1 · doi: 10.48550/arxiv.1505.03237 · pith_short_12: CSEPPTJUIL3P · pith_short_16: CSEPPTJUIL3P6KRS · pith_short_8: CSEPPTJU

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/CSEPPTJUIL3P6KRSSRX243SWZJ \
  | 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: 1488f7cd3442f6ff2a32946fae6e56ca41ee25e49be0e6b0bb9c4d20328e03bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62f847e7b69ddb7a433a05b230760f066653269f28a1f9dd5b3fca7abf6224c",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-13T04:37:41Z",
    "title_canon_sha256": "a78486f82d38d3fc9b24661a4835263be8269fe0825838a3c13df9cb687fb495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03237",
    "kind": "arxiv",
    "version": 1
  }
}