Pith Number

pith:42WJLNBP

pith:2012:42WJLNBPRYPSO6UUE3CU6K4ERG

not attested not anchored not stored refs pending

Variational time discretization of geodesic calculus

Benedikt Wirth, Martin Rumpf

arxiv:1210.2097 v2 · 2012-10-07 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42WJLNBPRYPSO6UUE3CU6K4ERG}

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	2026-05-18T03:30:12.277233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ac95b42f8e1f277a9426c54f2b8489b99fe2c0880ec972d0a996f527eec76c

Aliases

arxiv: 1210.2097 · arxiv_version: 1210.2097v2 · doi: 10.48550/arxiv.1210.2097 · pith_short_12: 42WJLNBPRYPS · pith_short_16: 42WJLNBPRYPSO6UU · pith_short_8: 42WJLNBP

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/42WJLNBPRYPSO6UUE3CU6K4ERG \
  | 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: e6ac95b42f8e1f277a9426c54f2b8489b99fe2c0880ec972d0a996f527eec76c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf8eb936bd25698cd2d6f8299830738f79dfe6a51ddcdd09e8b456b1dc567d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-07T20:06:15Z",
    "title_canon_sha256": "06615dacb4960a0761f09cb5884bcabc88bb7fef4dc30a662f80c39fb8d34f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2097",
    "kind": "arxiv",
    "version": 2
  }
}