Pith Number

pith:ES2IQPPP

pith:2015:ES2IQPPPYQCIIP4Y35L6IDCO6O

not attested not anchored not stored refs pending

Local duality in algebra and topology

Drew Heard, Gabriel Valenzuela, Tobias Barthel

arxiv:1511.03526 v3 · 2015-11-11 · math.AT · math.AC · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ES2IQPPPYQCIIP4Y35L6IDCO6O}

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	2026-05-17T23:56:00.873337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b4883defc404843f98df57e40c4ef3a0326a37b9ca1ea6323ac554bb4fdcb2

Aliases

arxiv: 1511.03526 · arxiv_version: 1511.03526v3 · doi: 10.48550/arxiv.1511.03526 · pith_short_12: ES2IQPPPYQCI · pith_short_16: ES2IQPPPYQCIIP4Y · pith_short_8: ES2IQPPP

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/ES2IQPPPYQCIIP4Y35L6IDCO6O \
  | 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: 24b4883defc404843f98df57e40c4ef3a0326a37b9ca1ea6323ac554bb4fdcb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1fdd21afbabcbcd31a112f9c0c08268a52ab69d4b70425068ab6425a5a9c499",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-11T15:05:02Z",
    "title_canon_sha256": "1e37718ae4f4dff544d9a62fdde6a867f6a2e65f151a09f6b0a450e0eb7f6cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03526",
    "kind": "arxiv",
    "version": 3
  }
}