Pith Number

pith:VCGNU3QI

pith:2006:VCGNU3QISHJA3PYYOUO5XJ77CN

not attested not anchored not stored refs pending

Symmetry-preserving Observers

Ph. Martin, P. Rouchon, S. Bonnabel

arxiv:math/0612193 v3 · 2006-12-07 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCGNU3QISHJA3PYYOUO5XJ77CN}

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	2026-05-18T00:58:26.444685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a88cda6e0891d20dbf18751ddba7ff1344345194c1677035ef15447999121b9d

Aliases

arxiv: math/0612193 · arxiv_version: math/0612193v3 · doi: 10.48550/arxiv.math/0612193 · pith_short_12: VCGNU3QISHJA · pith_short_16: VCGNU3QISHJA3PYY · pith_short_8: VCGNU3QI

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/VCGNU3QISHJA3PYYOUO5XJ77CN \
  | 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: a88cda6e0891d20dbf18751ddba7ff1344345194c1677035ef15447999121b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1ca8572e591265b8a9de1217f1b793b2df9ac62497db55bff4879d812bc7ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-12-07T14:00:45Z",
    "title_canon_sha256": "2aa382d5e114e33ca7cda989abf3201ee3e95618b4da5dcfd7bf8833c2c914a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612193",
    "kind": "arxiv",
    "version": 3
  }
}