Pith Number

pith:VZX4KC6C

pith:2016:VZX4KC6CUTKYV6GOCHD42HYA6K

not attested not anchored not stored refs pending

Mass-like invariants for asymptotically hyperbolic metrics

Julien Cortier, Mattias Dahl, Romain Gicquaud

arxiv:1603.07952 v2 · 2016-03-25 · math.DG · gr-qc · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZX4KC6CUTKYV6GOCHD42HYA6K}

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	2026-05-18T00:12:40.970171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6fc50bc2a4d58af8ce11c7cd1f00f2aa0bfb2ffd889ca8c2c8e5a01967dc34

Aliases

arxiv: 1603.07952 · arxiv_version: 1603.07952v2 · doi: 10.48550/arxiv.1603.07952 · pith_short_12: VZX4KC6CUTKY · pith_short_16: VZX4KC6CUTKYV6GO · pith_short_8: VZX4KC6C

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/VZX4KC6CUTKYV6GOCHD42HYA6K \
  | 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: ae6fc50bc2a4d58af8ce11c7cd1f00f2aa0bfb2ffd889ca8c2c8e5a01967dc34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42764532080077d2c45316dca558cbf82f730d3a3800a6104dd97b488bb0b2d8",
    "cross_cats_sorted": [
      "gr-qc",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-25T16:37:06Z",
    "title_canon_sha256": "70e4f101b357772842c8c8cdce77467acc378bad6a45b217520dbd03796f29fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07952",
    "kind": "arxiv",
    "version": 2
  }
}