Pith Number

pith:EUR5NSFC

pith:2016:EUR5NSFCAXNSZK7PTGZ7475E5L

not attested not anchored not stored refs pending

Quotient elastic metrics on the manifold of arc-length parameterized plane loops

Alice Barbara Tumpach, Stephen C. Preston

arxiv:1601.06139 v2 · 2016-01-22 · 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{EUR5NSFCAXNSZK7PTGZ7475E5L}

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	2026-05-18T00:40:41.559920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2523d6c8a205db2cabef99b3fe7fa4eae6d187a72ea5f5d4ecde51579098c74b

Aliases

arxiv: 1601.06139 · arxiv_version: 1601.06139v2 · doi: 10.48550/arxiv.1601.06139 · pith_short_12: EUR5NSFCAXNS · pith_short_16: EUR5NSFCAXNSZK7P · pith_short_8: EUR5NSFC

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/EUR5NSFCAXNSZK7PTGZ7475E5L \
  | 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: 2523d6c8a205db2cabef99b3fe7fa4eae6d187a72ea5f5d4ecde51579098c74b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b24469049a8871c87bdc7bf01b4318de79e3fcc5d7412a650106abf0c354806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-22T20:25:23Z",
    "title_canon_sha256": "3ad3b92783c0ae8efadc01f1d6399caf3b0ee3ce39f4c8de91b7160d0234a977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06139",
    "kind": "arxiv",
    "version": 2
  }
}