Pith Number

pith:AKIR3SJR

pith:2016:AKIR3SJRVVLQY5G57H4KRJO27Q

not attested not anchored not stored refs pending

Probabilistic Schubert Calculus

Antonio Lerario, Peter B\"urgisser

arxiv:1612.06893 v3 · 2016-12-20 · 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{AKIR3SJRVVLQY5G57H4KRJO27Q}

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	2026-05-18T00:25:34.722631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02911dc931ad570c74ddf9f8a8a5dafc00a210478fdc401e6fc85d7bfc505396

Aliases

arxiv: 1612.06893 · arxiv_version: 1612.06893v3 · doi: 10.48550/arxiv.1612.06893 · pith_short_12: AKIR3SJRVVLQ · pith_short_16: AKIR3SJRVVLQY5G5 · pith_short_8: AKIR3SJR

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/AKIR3SJRVVLQY5G57H4KRJO27Q \
  | 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: 02911dc931ad570c74ddf9f8a8a5dafc00a210478fdc401e6fc85d7bfc505396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66381636eeb814a20c85a11f3abd08571471ebae9a0ab3911bc79b7d447df6c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-20T21:48:56Z",
    "title_canon_sha256": "0fd411ce1de471365075805b9cc79fcc5d8d10023018f9a23a2d6539f8208ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06893",
    "kind": "arxiv",
    "version": 3
  }
}