Pith Number

pith:HM2SBX6T

pith:2026:HM2SBX6TXOYW4WUB4WHKOVJOMN

not attested not anchored not stored refs pending

Topological reconstruction theorems over uncountable algebraically closed fields

Benjamin Castle, Ronan O'Gorman

arxiv:2607.14472 v1 · 2026-07-16 · 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{HM2SBX6TXOYW4WUB4WHKOVJOMN}

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	2026-07-17T00:21:14.134300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3520dfd3bbb16e5a81e58ea7552e636ec244011a77685b519dd91ede95894e

Aliases

arxiv: 2607.14472 · arxiv_version: 2607.14472v1 · doi: 10.48550/arxiv.2607.14472 · pith_short_12: HM2SBX6TXOYW · pith_short_16: HM2SBX6TXOYW4WUB · pith_short_8: HM2SBX6T

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/HM2SBX6TXOYW4WUB4WHKOVJOMN \
  | 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: 3b3520dfd3bbb16e5a81e58ea7552e636ec244011a77685b519dd91ede95894e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f085b1402ecf537d84f9a17a5656dbf8e00731b4ee87330d18ed5569e7e57c44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-16T01:36:14Z",
    "title_canon_sha256": "c5e59243383c08b3e3fd444037efa582170ac323a2b737d08316e188325a2507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14472",
    "kind": "arxiv",
    "version": 1
  }
}