Pith Number

pith:L3Z2BH5T

pith:2025:L3Z2BH5TSZGTI7PMZQKVBRMWC4

not attested not anchored not stored refs pending

Asymptotic Momentum of Dirac Particles in One Space Dimension

Abigail Perryman, A. Shadi Tahvildar-Zadeh, Kabir Narayanan

arxiv:2512.21423 v2 · 2025-12-24 · math-ph · math.AP · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3Z2BH5TSZGTI7PMZQKVBRMWC4}

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	2026-06-19T16:10:54.388090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef3a09fb3964d347deccc1550c59617111a82b60b24960fa25e388a731f3f12

Aliases

arxiv: 2512.21423 · arxiv_version: 2512.21423v2 · doi: 10.48550/arxiv.2512.21423 · pith_short_12: L3Z2BH5TSZGT · pith_short_16: L3Z2BH5TSZGTI7PM · pith_short_8: L3Z2BH5T

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/L3Z2BH5TSZGTI7PMZQKVBRMWC4 \
  | 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: 5ef3a09fb3964d347deccc1550c59617111a82b60b24960fa25e388a731f3f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dcc10abe1a3869fbe67170a6e24b877460700a68ff36b9d01a6ace5a1ee8314",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-12-24T21:08:25Z",
    "title_canon_sha256": "7d89e7b2968716abfe5fecd045f8c794474b7669a1a8b657a2bf38399a64b1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21423",
    "kind": "arxiv",
    "version": 2
  }
}