Pith Number

pith:IV4QLJKZ

pith:2016:IV4QLJKZ6RADFISYQ2UYPM7HWD

not attested not anchored not stored refs pending

Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map

Burcu Bekta\c{s}, Joeri Van der Veken, Luc Vrancken

arxiv:1604.06657 v1 · 2016-04-22 · 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{IV4QLJKZ6RADFISYQ2UYPM7HWD}

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	2026-05-18T01:16:28.500577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457905a559f44032a25886a987b3e7b0fdb1abe40aefe0cea701c604ee21cebe

Aliases

arxiv: 1604.06657 · arxiv_version: 1604.06657v1 · doi: 10.48550/arxiv.1604.06657 · pith_short_12: IV4QLJKZ6RAD · pith_short_16: IV4QLJKZ6RADFISY · pith_short_8: IV4QLJKZ

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/IV4QLJKZ6RADFISYQ2UYPM7HWD \
  | 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: 457905a559f44032a25886a987b3e7b0fdb1abe40aefe0cea701c604ee21cebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55972ab106095e3ff86cd666d120fa0e89602da2a92e9a372e69aed3bd654861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-22T13:51:24Z",
    "title_canon_sha256": "9f9a85a17d3e96e28883ed5cd2f9dec83053f078777b005c87d6196456530836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06657",
    "kind": "arxiv",
    "version": 1
  }
}