Pith Number

pith:RIACYOI6

pith:2016:RIACYOI6J7UO7HCW4NADIWI7MQ

not attested not anchored not stored refs pending

Wall-Crossing implies Brill-Noether. Applications of stability conditions on surfaces

Arend Bayer

arxiv:1604.08261 v2 · 2016-04-27 · 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{RIACYOI6J7UO7HCW4NADIWI7MQ}

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	2026-05-18T01:01:51.816158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a002c391e4fe8ef9c56e34034591f640dc591ff41b561fba9302cfa32d20aa1

Aliases

arxiv: 1604.08261 · arxiv_version: 1604.08261v2 · doi: 10.48550/arxiv.1604.08261 · pith_short_12: RIACYOI6J7UO · pith_short_16: RIACYOI6J7UO7HCW · pith_short_8: RIACYOI6

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/RIACYOI6J7UO7HCW4NADIWI7MQ \
  | 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: 8a002c391e4fe8ef9c56e34034591f640dc591ff41b561fba9302cfa32d20aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2814e746de00982dbab085cebe3acba458de5f8ba061ae6201b1cc5c6fc01503",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-27T22:43:48Z",
    "title_canon_sha256": "5e4ee5d460861778e472d0e261bd93100b959365f777e4315f9093b1bff41af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08261",
    "kind": "arxiv",
    "version": 2
  }
}