Pith Number

pith:MKASTFKC

pith:2013:MKASTFKCTQHASK3KRXARMGQZR5

not attested not anchored not stored refs pending

Killing vector fields of constant length on compact hypersurfaces

Antonio J. Di Scala

arxiv:1307.5160 v3 · 2013-07-19 · 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{MKASTFKCTQHASK3KRXARMGQZR5}

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	2026-05-18T03:13:55.742803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62812995429c0e092b6a8dc1161a198f5ce57b52cf8b59795ea4a1bee6d4d071

Aliases

arxiv: 1307.5160 · arxiv_version: 1307.5160v3 · doi: 10.48550/arxiv.1307.5160 · pith_short_12: MKASTFKCTQHA · pith_short_16: MKASTFKCTQHASK3K · pith_short_8: MKASTFKC

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/MKASTFKCTQHASK3KRXARMGQZR5 \
  | 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: 62812995429c0e092b6a8dc1161a198f5ce57b52cf8b59795ea4a1bee6d4d071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a33ac4d371ff2fbb899d24fcfb80c6b82bc26551360a430e9a7f2309e6b4ec2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-19T08:36:29Z",
    "title_canon_sha256": "be09ece99ce8f18b1c49bf5f698314edac4db6b967aeece67540db5b599c7713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5160",
    "kind": "arxiv",
    "version": 3
  }
}