Pith Number

pith:4M2V2422

pith:2005:4M2V2422Q4WHKBK4XTIQNS3XW7

not attested not anchored not stored refs pending

Existence of Multistring Solutions of the Self-Gravitating Massive $W-$Boson

Dongho Chae

arxiv:math/0503493 v1 · 2005-03-23 · math.AP · 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{4M2V2422Q4WHKBK4XTIQNS3XW7}

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	2026-05-18T01:05:23.576703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3355d735a872c75055cbcd106cb77b7c535d412b480f1e9fadeb073c9edfefb

Aliases

arxiv: math/0503493 · arxiv_version: math/0503493v1 · doi: 10.48550/arxiv.math/0503493 · pith_short_12: 4M2V2422Q4WH · pith_short_16: 4M2V2422Q4WHKBK4 · pith_short_8: 4M2V2422

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/4M2V2422Q4WHKBK4XTIQNS3XW7 \
  | 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: e3355d735a872c75055cbcd106cb77b7c535d412b480f1e9fadeb073c9edfefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bcc47d3ddc4d10d877a41c582cf87b1e2862ef3629e98ffc40aeb427a6d0d7c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-03-23T14:47:36Z",
    "title_canon_sha256": "6c5576681e1ec0e0c85025e3fd0d6b8b4efdee198c6b2c7f1d0bd15dc0a68f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503493",
    "kind": "arxiv",
    "version": 1
  }
}