Pith Number

pith:X6AEBDAW

pith:2016:X6AEBDAWTPN73Z3M34J5UGH2HJ

not attested not anchored not stored refs pending

Periods and motives in the spectral action of Robertson-Walker spacetimes

Farzad Fathizadeh, Matilde Marcolli

arxiv:1611.01815 v1 · 2016-11-06 · math-ph · math.AG · math.DG · 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{X6AEBDAWTPN73Z3M34J5UGH2HJ}

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	2026-05-18T00:32:14.445155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf80408c169bdbfde76cdf13da18fa3a413c3f18de9eb165ceb547392ba61e6c

Aliases

arxiv: 1611.01815 · arxiv_version: 1611.01815v1 · doi: 10.48550/arxiv.1611.01815 · pith_short_12: X6AEBDAWTPN7 · pith_short_16: X6AEBDAWTPN73Z3M · pith_short_8: X6AEBDAW

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/X6AEBDAWTPN73Z3M34J5UGH2HJ \
  | 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: bf80408c169bdbfde76cdf13da18fa3a413c3f18de9eb165ceb547392ba61e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51220774e8c9cc6378efdf6d9f2b2ac867143fed2b37b2ab3a5f9864cdacdb2",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-06T18:06:53Z",
    "title_canon_sha256": "c66ca9106623d91b779c5de91606f33ef1fb124e4e4b6dd1085408a98a0c64f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01815",
    "kind": "arxiv",
    "version": 1
  }
}