Pith Number

pith:E5JDE2GC

pith:2026:E5JDE2GCUUUDWHTKBZKOX6E5XR

not attested not anchored not stored refs pending

Zeros of one-forms and the topology of algebraic maps

Botong Wang, Stefan Schreieder

arxiv:2607.15102 v1 · 2026-07-16 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5JDE2GCUUUDWHTKBZKOX6E5XR}

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	2026-07-17T01:22:09.481512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27523268c2a5283b1e6a0e54ebf89dbc4a5c397ec839533fa6da3e0bf42b48f8

Aliases

arxiv: 2607.15102 · arxiv_version: 2607.15102v1 · doi: 10.48550/arxiv.2607.15102 · pith_short_12: E5JDE2GCUUUD · pith_short_16: E5JDE2GCUUUDWHTK · pith_short_8: E5JDE2GC

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/E5JDE2GCUUUDWHTKBZKOX6E5XR \
  | 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: 27523268c2a5283b1e6a0e54ebf89dbc4a5c397ec839533fa6da3e0bf42b48f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c8256a53edc2e595a76e1501bf807ce6856a4d1d8e7c1ff3a7335565981495",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-16T15:13:53Z",
    "title_canon_sha256": "25b01bbef881d07dc514e8700f1fb2f484e3dcded8d238d7fc8a245bf3901b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15102",
    "kind": "arxiv",
    "version": 1
  }
}