Pith Number

pith:NCCX2DJM

pith:2017:NCCX2DJMM7ZMGVWZIH4OIETAZR

not attested not anchored not stored refs pending

$p$-Adic Mathematical Physics: The First 30 Years

A. Yu. Khrennikov, B. Dragovich, E. I. Zelenov, I. V. Volovich, S. V. Kozyrev

arxiv:1705.04758 v1 · 2017-05-12 · math-ph · hep-th · math.MP · q-bio.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCCX2DJMM7ZMGVWZIH4OIETAZR}

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	2026-05-18T00:44:34.751125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68857d0d2c67f2c356d941f8e41260cc6b6c589d1981721d49b9609fd9e158ad

Aliases

arxiv: 1705.04758 · arxiv_version: 1705.04758v1 · doi: 10.48550/arxiv.1705.04758 · pith_short_12: NCCX2DJMM7ZM · pith_short_16: NCCX2DJMM7ZMGVWZ · pith_short_8: NCCX2DJM

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/NCCX2DJMM7ZMGVWZIH4OIETAZR \
  | 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: 68857d0d2c67f2c356d941f8e41260cc6b6c589d1981721d49b9609fd9e158ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06da708347c7fbf26c80ac289b31b893a495fddfb01b8277a691ecce7ec3573",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "q-bio.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-12T21:38:48Z",
    "title_canon_sha256": "4eedcdaf84083d2943fb662b98b6092b19e4b3fe046ccf7ffd8b0909c920048e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04758",
    "kind": "arxiv",
    "version": 1
  }
}