Pith Number

pith:URWZX52F

pith:2011:URWZX52FXPDW3TMUW2SGCF3VGI

not attested not anchored not stored refs pending

Lagrange Anchor and Characteristic Symmetries of Free Massless Fields

Alexey A. Sharapov, Dmitry S. Kaparulin, Simon L. Lyakhovich

arxiv:1112.1860 v3 · 2011-12-08 · hep-th · 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{URWZX52FXPDW3TMUW2SGCF3VGI}

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	2026-05-18T03:58:04.330665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a46d9bf745bbc76dcd94b6a4611775320f4882b1a4927d1b2f7c8cef2bb9c6f4

Aliases

arxiv: 1112.1860 · arxiv_version: 1112.1860v3 · doi: 10.48550/arxiv.1112.1860 · pith_short_12: URWZX52FXPDW · pith_short_16: URWZX52FXPDW3TMU · pith_short_8: URWZX52F

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/URWZX52FXPDW3TMUW2SGCF3VGI \
  | 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: a46d9bf745bbc76dcd94b6a4611775320f4882b1a4927d1b2f7c8cef2bb9c6f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b569729f83bbf854acff0e9155fa3a26ec7f60ac8ac38e30e6e9148c40a2911",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-08T15:34:22Z",
    "title_canon_sha256": "a7c0d0e898ba80887141597d2a68927894e8123470c1647ae928ff98f0326c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1860",
    "kind": "arxiv",
    "version": 3
  }
}