Pith Number

pith:4IGEUAYT

pith:2015:4IGEUAYTTSPMNYISI6H2ECG5YW

not attested not anchored not stored refs pending

Maximal Sp(4,R) surface group representations, minimal immersions and cyclic surfaces

Brian Collier

arxiv:1503.03526 v2 · 2015-03-11 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IGEUAYTTSPMNYISI6H2ECG5YW}

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	2026-05-18T01:37:18.981026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20c4a03139c9ec6e112478fa208ddc59bf18471620cff36c482162aec9e39fc

Aliases

arxiv: 1503.03526 · arxiv_version: 1503.03526v2 · doi: 10.48550/arxiv.1503.03526 · pith_short_12: 4IGEUAYTTSPM · pith_short_16: 4IGEUAYTTSPMNYIS · pith_short_8: 4IGEUAYT

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/4IGEUAYTTSPMNYISI6H2ECG5YW \
  | 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: e20c4a03139c9ec6e112478fa208ddc59bf18471620cff36c482162aec9e39fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd5c663d1754fb85ab6f7f23138183a38b001ac8b712cfb345521166e8449d6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-11T22:20:43Z",
    "title_canon_sha256": "bac2b9d28e2b7e95c5c1d194dea97c83f585570a8351ea3e5500ed1a8d28151a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03526",
    "kind": "arxiv",
    "version": 2
  }
}