Pith Number

pith:YOHE4O3Q

pith:2011:YOHE4O3QQL5GGNVE3OPF4ME3SY

not attested not anchored not stored refs pending

On the mass term of the Dirac equation

Maciej Trzetrzelewski

arxiv:1101.3899 v2 · 2011-01-20 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOHE4O3QQL5GGNVE3OPF4ME3SY}

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	2026-05-18T02:22:50.074610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38e4e3b7082fa6336a4db9e5e309b961a2fc39c8c23a256d9bce3317514bdec

Aliases

arxiv: 1101.3899 · arxiv_version: 1101.3899v2 · doi: 10.48550/arxiv.1101.3899 · pith_short_12: YOHE4O3QQL5G · pith_short_16: YOHE4O3QQL5GGNVE · pith_short_8: YOHE4O3Q

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/YOHE4O3QQL5GGNVE3OPF4ME3SY \
  | 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: c38e4e3b7082fa6336a4db9e5e309b961a2fc39c8c23a256d9bce3317514bdec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b4dcca991e431d79ea11f677baad94546381748a3d9a51e9710661739ee2dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-01-20T13:32:51Z",
    "title_canon_sha256": "0b0cc5d5e193f27aa15b3e5ce91b34eb4a869e4288dfcb6d62c428aaffde1a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3899",
    "kind": "arxiv",
    "version": 2
  }
}