Pith Number

pith:PYIDUMI4

pith:2026:PYIDUMI4YG22BMMBJUT3RVEFXY

not attested not anchored not stored refs pending

Yang-Mills theory for multiplicative Ehresmann connections

\v{Z}an Grad

arxiv:2607.10904 v1 · 2026-07-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYIDUMI4YG22BMMBJUT3RVEFXY}

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	2026-07-14T01:21:46.994841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e103a311cc1b5a0b1814d27b8d485be13660d26fbe910d0f6d059946278a350

Aliases

arxiv: 2607.10904 · arxiv_version: 2607.10904v1 · doi: 10.48550/arxiv.2607.10904 · pith_short_12: PYIDUMI4YG22 · pith_short_16: PYIDUMI4YG22BMMB · pith_short_8: PYIDUMI4

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/PYIDUMI4YG22BMMBJUT3RVEFXY \
  | 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: 7e103a311cc1b5a0b1814d27b8d485be13660d26fbe910d0f6d059946278a350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "608b31b6a5cf9e73496b89fca7e068d421d62fc10a42ab333a496e4cac7945b2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-12T20:18:48Z",
    "title_canon_sha256": "cd638ed2173e183107f4599c0fcfb5f042ef3a74a9155e59f8eae6f4d4bf12f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10904",
    "kind": "arxiv",
    "version": 1
  }
}