Pith Number

pith:GT76WWJP

pith:2016:GT76WWJPAGX66T7VZGEAAKWSDK

not attested not anchored not stored refs pending

Exactly realizable desired trajectories

Jakob L\"ober

arxiv:1603.00611 v1 · 2016-03-02 · math.OC · cs.SY · math.DS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT76WWJPAGX66T7VZGEAAKWSDK}

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	2026-05-18T01:19:43.348830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ffeb592f01afef4ff5c988002ad21a8b41597b23e265d339620ce82f785bbc

Aliases

arxiv: 1603.00611 · arxiv_version: 1603.00611v1 · doi: 10.48550/arxiv.1603.00611 · pith_short_12: GT76WWJPAGX6 · pith_short_16: GT76WWJPAGX66T7V · pith_short_8: GT76WWJP

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/GT76WWJPAGX66T7VZGEAAKWSDK \
  | 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: 34ffeb592f01afef4ff5c988002ad21a8b41597b23e265d339620ce82f785bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8823d7bc41850bbe28b44d290b03c4097a2403c95bac5406927310dbea09f20",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-02T08:29:56Z",
    "title_canon_sha256": "c414b62bf9d80e914f5961bf93f56b80f47b0fe6dcd898f9239d2f577d5ea67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00611",
    "kind": "arxiv",
    "version": 1
  }
}