Pith Number

pith:4KCO5AFC

pith:2018:4KCO5AFCUGAO7OTEVVAH3UQGSS

not attested not anchored not stored refs pending

Interpolating factorizations for acyclic Donaldson--Thomas invariants

Justin Allman

arxiv:1807.02179 v3 · 2018-07-05 · math.RT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KCO5AFCUGAO7OTEVVAH3UQGSS}

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	2026-05-17T23:52:09.425442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e284ee80a2a180efba64ad407dd20694882bf86bd50c698105ac9f1c871afeb5

Aliases

arxiv: 1807.02179 · arxiv_version: 1807.02179v3 · doi: 10.48550/arxiv.1807.02179 · pith_short_12: 4KCO5AFCUGAO · pith_short_16: 4KCO5AFCUGAO7OTE · pith_short_8: 4KCO5AFC

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/4KCO5AFCUGAO7OTEVVAH3UQGSS \
  | 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: e284ee80a2a180efba64ad407dd20694882bf86bd50c698105ac9f1c871afeb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb1b3bba26121d84441c714bbfc1c4de42a3131e8bb73148a57d731c5558b21",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-07-05T20:57:44Z",
    "title_canon_sha256": "54a617e7bd302d65ad634017afddd66b6e7c10693c15aae857ed639c7ed13db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02179",
    "kind": "arxiv",
    "version": 3
  }
}