Pith Number

pith:HFHQCFNM

pith:2026:HFHQCFNMPP43CUDVJV3G63ZDLS

not attested not anchored not stored refs pending

Charged parallel spinors and applications to mass--charge inequalities

Simon Raulot

arxiv:2607.05980 v1 · 2026-07-07 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFHQCFNMPP43CUDVJV3G63ZDLS}

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	2026-07-08T01:18:52.353786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394f0115ac7bf9b150754d766f6f235caeda82a07d8c694dfcd90e99a67a1d18

Aliases

arxiv: 2607.05980 · arxiv_version: 2607.05980v1 · doi: 10.48550/arxiv.2607.05980 · pith_short_12: HFHQCFNMPP43 · pith_short_16: HFHQCFNMPP43CUDV · pith_short_8: HFHQCFNM

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/HFHQCFNMPP43CUDVJV3G63ZDLS \
  | 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: 394f0115ac7bf9b150754d766f6f235caeda82a07d8c694dfcd90e99a67a1d18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df33fb9b294e25757456b3209a1f54f275ad77c4de3498a8bb9b7594e5706452",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-07T08:12:28Z",
    "title_canon_sha256": "83ac8827ee3354f13ae8d3727c0ea199184686ed53320dd88babd6bf11be396d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05980",
    "kind": "arxiv",
    "version": 1
  }
}