Pith Number

pith:EIOAJ4Z7

pith:2015:EIOAJ4Z7D4QGP7NHAZ27BWIZ4M

not attested not anchored not stored refs pending

Cup products, the Heisenberg group, and codimension two algebraic cycles

Ettore Aldrovandi, Niranjan Ramachandran

arxiv:1510.01825 v1 · 2015-10-07 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIOAJ4Z7D4QGP7NHAZ27BWIZ4M}

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	2026-05-18T01:30:50.309656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221c04f33f1f2067fda70675f0d919e3168f9da825252bc5689433c64430e66c

Aliases

arxiv: 1510.01825 · arxiv_version: 1510.01825v1 · doi: 10.48550/arxiv.1510.01825 · pith_short_12: EIOAJ4Z7D4QG · pith_short_16: EIOAJ4Z7D4QGP7NH · pith_short_8: EIOAJ4Z7

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/EIOAJ4Z7D4QGP7NHAZ27BWIZ4M \
  | 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: 221c04f33f1f2067fda70675f0d919e3168f9da825252bc5689433c64430e66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "791f94d09e4542cd5c0673b895eb6952dba7575aeb4bb4ee9b305a0dcfb6b5f8",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-07T05:17:17Z",
    "title_canon_sha256": "a4b1db44cc4677493e13a49a1aa5d28911c914813fb6bbd5c05ee8c521f3bf9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01825",
    "kind": "arxiv",
    "version": 1
  }
}