Pith Number

pith:E7GVIGGO

pith:2015:E7GVIGGODMIPJVGCYSKSBMAMJB

not attested not anchored not stored refs pending

Reparameterization invariant metric on the space of curves

Alice Le Brigant (IMB), Fr\'ed\'eric Barbaresco, Marc Arnaudon (IMB)

arxiv:1507.06503 v2 · 2015-07-23 · 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{E7GVIGGODMIPJVGCYSKSBMAMJB}

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	2026-05-18T01:29:13.226283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27cd5418ce1b10f4d4c2c49520b00c4855b09da5d222c5382bb263d40e3f2c9a

Aliases

arxiv: 1507.06503 · arxiv_version: 1507.06503v2 · doi: 10.48550/arxiv.1507.06503 · pith_short_12: E7GVIGGODMIP · pith_short_16: E7GVIGGODMIPJVGC · pith_short_8: E7GVIGGO

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/E7GVIGGODMIPJVGCYSKSBMAMJB \
  | 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: 27cd5418ce1b10f4d4c2c49520b00c4855b09da5d222c5382bb263d40e3f2c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3405308e86b76652aebc16ba923b0ad82454c47e601d4d1378281de7e197294",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-23T14:08:27Z",
    "title_canon_sha256": "3331f92de96f7bc24232f2ea6855d76413241dde2d3ede212639e9179a5f3adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06503",
    "kind": "arxiv",
    "version": 2
  }
}