Pith Number

pith:AJCF7I6N

pith:2019:AJCF7I6NZYEUD5UMC6QRAHN5VL

not attested not anchored not stored refs pending

On the $K$-theoretic Hall algebra of a surface

Yu Zhao

arxiv:1901.00831 v2 · 2019-01-03 · 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{AJCF7I6NZYEUD5UMC6QRAHN5VL}

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	2026-07-05T01:37:33.145033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02445fa3cdce0941f68c17a1101dbdaad99004276dde1b53a5267e7c0ac66ca9

Aliases

arxiv: 1901.00831 · arxiv_version: 1901.00831v2 · doi: 10.48550/arxiv.1901.00831 · pith_short_12: AJCF7I6NZYEU · pith_short_16: AJCF7I6NZYEUD5UM · pith_short_8: AJCF7I6N

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/AJCF7I6NZYEUD5UMC6QRAHN5VL \
  | 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: 02445fa3cdce0941f68c17a1101dbdaad99004276dde1b53a5267e7c0ac66ca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5df0216c241686a0a1c1306d64d9404fa151492d8c57c4fb60925d9e040c9c86",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-03T18:00:48Z",
    "title_canon_sha256": "4c8d089269632690e4720c89abafe87700039dbb12ea8bf2981ca5775590eeb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00831",
    "kind": "arxiv",
    "version": 2
  }
}