Pith Number

pith:36LDTUGG

pith:2015:36LDTUGGNZEIHJHS3LLM3TLATN

not attested not anchored not stored refs pending

Hyperbolic development and inversion of signature

Terry Lyons, Weijun Xu

arxiv:1507.00286 v3 · 2015-07-01 · math.CA

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

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	2026-05-18T00:42:49.101594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9639d0c66e4883a4f2dad6cdcd609b4be6bea08a86e2453bbab221bb54dd5f

Aliases

arxiv: 1507.00286 · arxiv_version: 1507.00286v3 · doi: 10.48550/arxiv.1507.00286 · pith_short_12: 36LDTUGGNZEI · pith_short_16: 36LDTUGGNZEIHJHS · pith_short_8: 36LDTUGG

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/36LDTUGGNZEIHJHS3LLM3TLATN \
  | 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: df9639d0c66e4883a4f2dad6cdcd609b4be6bea08a86e2453bbab221bb54dd5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0b3c1d3efaaad2fbbfe2db3169eab1013fe8372de8d57acfbe687eb6e59334",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-01T16:52:29Z",
    "title_canon_sha256": "641707734149550728c83f436ecfa316edecc652e87be47337bf70a78dd0361c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00286",
    "kind": "arxiv",
    "version": 3
  }
}