Pith Number

pith:IAR4QM3S

pith:2016:IAR4QM3SL6WMJ2RYEAZWGYRKYX

not attested not anchored not stored refs pending

Hall algebras and Donaldson-Thomas invariants

Tom Bridgeland

arxiv:1611.03696 v3 · 2016-11-11 · 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{IAR4QM3SL6WMJ2RYEAZWGYRKYX}

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.

Cited by

2 papers in Pith

Hall Geometry and Auslander-Reiten Quiver

Receipt and verification

First computed	2026-07-05T01:13:03.916433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4023c833725facc4ea38203363622ac5d103799adc70871a7944066e81aa4974

Aliases

arxiv: 1611.03696 · arxiv_version: 1611.03696v3 · doi: 10.48550/arxiv.1611.03696 · pith_short_12: IAR4QM3SL6WM · pith_short_16: IAR4QM3SL6WMJ2RY · pith_short_8: IAR4QM3S

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/IAR4QM3SL6WMJ2RYEAZWGYRKYX \
  | 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: 4023c833725facc4ea38203363622ac5d103799adc70871a7944066e81aa4974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4a0e8d9f1ad58884f5ac46323bcae8a07bd8eefd940d1e5e68f9495820b769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-11T13:28:12Z",
    "title_canon_sha256": "2138a83be932e70d8a2e3fc82365aa9f4ddec34777478619a44a7346603b7247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03696",
    "kind": "arxiv",
    "version": 3
  }
}