Pith Number

pith:X75XDJXD

pith:2025:X75XDJXD6T7XS6753RWUTOEARL

not attested not anchored not stored refs pending

A simple perturbation of Vafa-Witten equations and a transversality result

Bo Dai, Ren Guan

arxiv:2505.14702 v1 · 2025-05-13 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X75XDJXD6T7XS6753RWUTOEARL}

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	2026-07-05T11:06:33.933099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bffb71a6e3f4ff797bfddc6d49b8808ae699eacaf3d38f33200c65f478cb0af9

Aliases

arxiv: 2505.14702 · arxiv_version: 2505.14702v1 · doi: 10.48550/arxiv.2505.14702 · pith_short_12: X75XDJXD6T7X · pith_short_16: X75XDJXD6T7XS675 · pith_short_8: X75XDJXD

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/X75XDJXD6T7XS6753RWUTOEARL \
  | 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: bffb71a6e3f4ff797bfddc6d49b8808ae699eacaf3d38f33200c65f478cb0af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060a0474c6d714a1727c4d4df34072daf138d4a56e19ab4d3a652a5bbf767738",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-13T06:10:36Z",
    "title_canon_sha256": "5981e778d90bb818850222cebf22893f56af61f454eb89bf1b6b6b99e872549a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14702",
    "kind": "arxiv",
    "version": 1
  }
}