Pith Number

pith:P5I2VPSM

pith:2014:P5I2VPSM6MBG6QKLRYKPET5RZE

not attested not anchored not stored refs pending

Cartan's incomplete classification and an explicit ambient metric of holonomy $\mathrm{G}_2^*$

Travis Willse

arxiv:1411.7172 v3 · 2014-11-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5I2VPSM6MBG6QKLRYKPET5RZE}

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	2026-05-18T00:37:37.075029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f51aabe4cf3026f414b8e14f24fb1c92d7c2f90e00aecf020629b34e70d133e

Aliases

arxiv: 1411.7172 · arxiv_version: 1411.7172v3 · doi: 10.48550/arxiv.1411.7172 · pith_short_12: P5I2VPSM6MBG · pith_short_16: P5I2VPSM6MBG6QKL · pith_short_8: P5I2VPSM

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/P5I2VPSM6MBG6QKLRYKPET5RZE \
  | 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: 7f51aabe4cf3026f414b8e14f24fb1c92d7c2f90e00aecf020629b34e70d133e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b722cdba881e1dcdcee1a031bd61a5644e20d6416eb34c50d35b52a4efb688f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-26T10:57:16Z",
    "title_canon_sha256": "5f5b3a50c3a4c255b52822012942b1f1dbf5be67ed768f14e25a3a0f3ab4e3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7172",
    "kind": "arxiv",
    "version": 3
  }
}