Pith Number

pith:SXGRA72W

pith:2014:SXGRA72WWR4ZP5PGQNDFHORQPN

not attested not anchored not stored refs pending

Notes on exterior differential systems

Robert L. Bryant

arxiv:1405.3116 v1 · 2014-05-13 · 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{SXGRA72WWR4ZP5PGQNDFHORQPN}

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.

Cited by

1 paper in Pith

Closed Magnetic geodesics on Heisenberg nilmanifolds

Receipt and verification

First computed	2026-05-18T02:51:57.734564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95cd107f56b47997f5e6834653ba307b423d4912476a5283a93b987ff8fa27c3

Aliases

arxiv: 1405.3116 · arxiv_version: 1405.3116v1 · doi: 10.48550/arxiv.1405.3116 · pith_short_12: SXGRA72WWR4Z · pith_short_16: SXGRA72WWR4ZP5PG · pith_short_8: SXGRA72W

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/SXGRA72WWR4ZP5PGQNDFHORQPN \
  | 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: 95cd107f56b47997f5e6834653ba307b423d4912476a5283a93b987ff8fa27c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d263e6ee77a4ebfa9214745ce3528b840562958fd4a4263286c4128d23353190",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-13T11:49:36Z",
    "title_canon_sha256": "ce9810051cb2c6f93f03a4fb8efb5e62bfc8a896f0875c216de5cc8db615f88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3116",
    "kind": "arxiv",
    "version": 1
  }
}