Pith Number

pith:TXP2DLXO

pith:2005:TXP2DLXOKQ5P6C45RTQACMJJGD

not attested not anchored not stored refs pending

Hermitian vector fields and special phase functions

Josef Jany\v{s}ka, Marco Modugno

arxiv:math-ph/0507070 v1 · 2005-07-29 · math-ph · math.DG · 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{TXP2DLXOKQ5P6C45RTQACMJJGD}

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	2026-05-18T01:38:33.108925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ddfa1aeee543aff0b9d8ce001312930f37090f91e5af66009c19957482e86b5

Aliases

arxiv: math-ph/0507070 · arxiv_version: math-ph/0507070v1 · doi: 10.48550/arxiv.math-ph/0507070 · pith_short_12: TXP2DLXOKQ5P · pith_short_16: TXP2DLXOKQ5P6C45 · pith_short_8: TXP2DLXO

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/TXP2DLXOKQ5P6C45RTQACMJJGD \
  | 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: 9ddfa1aeee543aff0b9d8ce001312930f37090f91e5af66009c19957482e86b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f7b0f0162981ef5480f0a26e333db50587a922271bac4d9c6317735ef86ea3",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-07-29T06:57:21Z",
    "title_canon_sha256": "5a97805b843e918c27cb423d0150a748e26a66bf342d97fd0f1602cf2dda426d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0507070",
    "kind": "arxiv",
    "version": 1
  }
}