Pith Number

pith:BOTG6HTI

pith:2016:BOTG6HTIJVNUTPPU3IZME3XCJ4

not attested not anchored not stored refs pending

Combinatorial constructions of derived equivalences

Daniel Halpern-Leistner, Steven V Sam

arxiv:1601.02030 v4 · 2016-01-08 · 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{BOTG6HTIJVNUTPPU3IZME3XCJ4}

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	2026-07-05T03:01:50.804989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ba66f1e684d5b49bdf4da32c26ee24f08a5094c6f2310ec754d0c847b0df3d3

Aliases

arxiv: 1601.02030 · arxiv_version: 1601.02030v4 · doi: 10.48550/arxiv.1601.02030 · pith_short_12: BOTG6HTIJVNU · pith_short_16: BOTG6HTIJVNUTPPU · pith_short_8: BOTG6HTI

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/BOTG6HTIJVNUTPPU3IZME3XCJ4 \
  | 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: 0ba66f1e684d5b49bdf4da32c26ee24f08a5094c6f2310ec754d0c847b0df3d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6faf1916b68592fc3028f6353c14ff3f3c252292fa1e43b5e8cb1ee4e0cc919",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-08T21:18:59Z",
    "title_canon_sha256": "461721a7874cf8dee36cb441102a9d8157d4f71018980bf0dfef9aee9f484bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02030",
    "kind": "arxiv",
    "version": 4
  }
}