Pith Number

pith:VURT6D7N

pith:2017:VURT6D7NDBICQHG43HPQIS2GTH

not attested not anchored not stored refs pending

Approximation of maps into spheres by regulous maps

Maciej Zieli\'nski

arxiv:1706.04865 v1 · 2017-06-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VURT6D7NDBICQHG43HPQIS2GTH}

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	2026-05-18T00:42:18.721053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad233f0fed1850281cdcd9df044b4699c06f6f34c62ab80d449f145023fa4453

Aliases

arxiv: 1706.04865 · arxiv_version: 1706.04865v1 · doi: 10.48550/arxiv.1706.04865 · pith_short_12: VURT6D7NDBIC · pith_short_16: VURT6D7NDBICQHG4 · pith_short_8: VURT6D7N

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/VURT6D7NDBICQHG43HPQIS2GTH \
  | 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: ad233f0fed1850281cdcd9df044b4699c06f6f34c62ab80d449f145023fa4453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72280afbab1643a890d0f8a6117c8610a1be58b60ce2fa84125a9c777b6ec43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-15T13:43:58Z",
    "title_canon_sha256": "6a6665af4724825f17082b9aa03d520c02eab9631e04f76d3d2adafcb5ff43a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04865",
    "kind": "arxiv",
    "version": 1
  }
}