Pith Number

pith:TS3HKLJ6

pith:2012:TS3HKLJ63CUM6IL6PIRZHLCICQ

not attested not anchored not stored refs pending

Human Time-Frequency Acuity Beats the Fourier Uncertainty Principle

Jacob N. Oppenheim, Marcelo O. Magnasco

arxiv:1208.4611 v2 · 2012-08-22 · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TS3HKLJ63CUM6IL6PIRZHLCICQ}

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	2026-05-18T02:25:19.160822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb6752d3ed8a8cf217e7a2393ac48141a5e7069351e93ee25eba006f0527933

Aliases

arxiv: 1208.4611 · arxiv_version: 1208.4611v2 · doi: 10.48550/arxiv.1208.4611 · pith_short_12: TS3HKLJ63CUM · pith_short_16: TS3HKLJ63CUM6IL6 · pith_short_8: TS3HKLJ6

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/TS3HKLJ63CUM6IL6PIRZHLCICQ \
  | 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: 9cb6752d3ed8a8cf217e7a2393ac48141a5e7069351e93ee25eba006f0527933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a78af368c5d0dd464a7dca3b19c9190b9b799c560dd220c7750c1815c8c86d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2012-08-22T20:12:32Z",
    "title_canon_sha256": "650702d719ed2536b3056b515d98788d8373130800570de37a2c37e0d9c4a923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4611",
    "kind": "arxiv",
    "version": 2
  }
}