Pith Number

pith:DPKDKUY5

pith:2015:DPKDKUY5UKAKHQAIMTAFINGZIY

not attested not anchored not stored refs pending

Complexities of 3-manifolds from triangulations, Heegaard splittings, and surgery presentations

Jae Choon Cha

arxiv:1506.00757 v3 · 2015-06-02 · 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{DPKDKUY5UKAKHQAIMTAFINGZIY}

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	2026-05-18T00:36:51.836806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd435531da280a3c00864c05434d9461daf353eb2335a421957b8041ae49b05

Aliases

arxiv: 1506.00757 · arxiv_version: 1506.00757v3 · doi: 10.48550/arxiv.1506.00757 · pith_short_12: DPKDKUY5UKAK · pith_short_16: DPKDKUY5UKAKHQAI · pith_short_8: DPKDKUY5

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/DPKDKUY5UKAKHQAIMTAFINGZIY \
  | 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: 1bd435531da280a3c00864c05434d9461daf353eb2335a421957b8041ae49b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0cea2cda1f9068a3c4631de31bff79207d5acfd1275f6c5d2150743a906bd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-02T05:44:05Z",
    "title_canon_sha256": "1dff526e15f73a3cb090aaffcf3eb6932879a8885be983d4b57b3b42336a6e9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00757",
    "kind": "arxiv",
    "version": 3
  }
}