Pith Number

pith:D46TIWTF

pith:1997:D46TIWTFD2FXNA2Y2ETZFGZJU7

not attested not anchored not stored refs pending

Complete Integrability of Completely Integrable Systems

D. H. Sattinger, R. Beals

arxiv:math/9712253 v1 · 1997-12-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D46TIWTFD2FXNA2Y2ETZFGZJU7}

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	2026-05-18T01:38:22.977973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3d345a651e8b768358d127929b29a7c6d31f5bc0f2b63fba959ae5a1f3cf35

Aliases

arxiv: math/9712253 · arxiv_version: math/9712253v1 · doi: 10.48550/arxiv.math/9712253 · pith_short_12: D46TIWTFD2FX · pith_short_16: D46TIWTFD2FXNA2Y · pith_short_8: D46TIWTF

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/D46TIWTFD2FXNA2Y2ETZFGZJU7 \
  | 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: 1f3d345a651e8b768358d127929b29a7c6d31f5bc0f2b63fba959ae5a1f3cf35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed56a4cc0273209d4044158bcbd2c8884a39232ac248b5b1bf382fac0d3a9e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "1997-12-15T22:56:59Z",
    "title_canon_sha256": "4d82a8122693086b59f0804a0bf28ea29940f86ee63738e5734cdc7d87d8294f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712253",
    "kind": "arxiv",
    "version": 1
  }
}