Pith Number

pith:ZYFSSEVT

pith:2016:ZYFSSEVTXYAP7INVDWSNQPLS33

not attested not anchored not stored refs pending

Height estimates for Killing graphs

Alberto G. Setti, Debora Impera, Jorge H. de Lira, Stefano Pigola

arxiv:1612.01257 v2 · 2016-12-05 · 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{ZYFSSEVTXYAP7INVDWSNQPLS33}

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	2026-05-18T00:16:45.622461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0b2912b3be00ffa1b51da4d83d72deeb42a5b2e73335cde331abc2738bf559

Aliases

arxiv: 1612.01257 · arxiv_version: 1612.01257v2 · doi: 10.48550/arxiv.1612.01257 · pith_short_12: ZYFSSEVTXYAP · pith_short_16: ZYFSSEVTXYAP7INV · pith_short_8: ZYFSSEVT

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/ZYFSSEVTXYAP7INVDWSNQPLS33 \
  | 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: ce0b2912b3be00ffa1b51da4d83d72deeb42a5b2e73335cde331abc2738bf559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae8e2b2749db4faccb6b58634ed3459c9812e51e675d64694a89c6d2902eb1b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-05T06:25:35Z",
    "title_canon_sha256": "4710533e123a21d55705ac85e371415999af9ff1df4411c8804bd7d605ed9c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01257",
    "kind": "arxiv",
    "version": 2
  }
}