Pith Number

pith:JJ2XI3NT

pith:2013:JJ2XI3NT76MPRJ3GQ5X4XCHNZC

not attested not anchored not stored refs pending

Riemann zeta zeros and zero-point energy

J. G. Due\~nas, N. F. Svaiter

arxiv:1311.6681 v1 · 2013-11-26 · hep-th · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ2XI3NT76MPRJ3GQ5X4XCHNZC}

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	2026-05-18T02:30:47.536185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a75746db3ff98f8a766876fcb88edc8abcfa601f08c740965bcdbb3909831aa

Aliases

arxiv: 1311.6681 · arxiv_version: 1311.6681v1 · doi: 10.48550/arxiv.1311.6681 · pith_short_12: JJ2XI3NT76MP · pith_short_16: JJ2XI3NT76MPRJ3G · pith_short_8: JJ2XI3NT

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/JJ2XI3NT76MPRJ3GQ5X4XCHNZC \
  | 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: 4a75746db3ff98f8a766876fcb88edc8abcfa601f08c740965bcdbb3909831aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c76c618886ebf9ee1afc5adf0de996ca1c2c7345a4b82bf694a0288f086d611b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-11-26T14:13:20Z",
    "title_canon_sha256": "feccd7bc20641121e30404dde2a409cba093b5c7bea6474e38bb876ca44ffead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6681",
    "kind": "arxiv",
    "version": 1
  }
}