Pith Number

pith:5NXZ4ZUQ

pith:2017:5NXZ4ZUQSNGTH4DR4WNXRC5ZK6

not attested not anchored not stored refs pending

The Hall Algebras of Surfaces I

Benjamin Cooper, Peter Samuelson

arxiv:1708.00889 v1 · 2017-08-02 · math.SG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NXZ4ZUQSNGTH4DR4WNXRC5ZK6}

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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

1 paper in Pith

Legendrian skein algebras and Hall algebras

Receipt and verification

First computed	2026-07-05T01:00:29.969733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6f9e6690934d33f071e59b788bb957a2d71f6bdd3a93c42ef912b44ff2552a

Aliases

arxiv: 1708.00889 · arxiv_version: 1708.00889v1 · doi: 10.48550/arxiv.1708.00889 · pith_short_12: 5NXZ4ZUQSNGT · pith_short_16: 5NXZ4ZUQSNGTH4DR · pith_short_8: 5NXZ4ZUQ

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/5NXZ4ZUQSNGTH4DR4WNXRC5ZK6 \
  | 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: eb6f9e6690934d33f071e59b788bb957a2d71f6bdd3a93c42ef912b44ff2552a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b226efa05280f46fd464746614a3072745ba8df4016ec9af5f3ef49442e19fa",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-08-02T18:42:49Z",
    "title_canon_sha256": "7ba43dc02a5984679dfca34152236f080c5dad1861b34002840bab2f0d80edcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00889",
    "kind": "arxiv",
    "version": 1
  }
}