Pith Number

pith:WABKTEIO

pith:2015:WABKTEIODLQABZIFTAQWHPO7XT

not attested not anchored not stored refs pending

Optimal regularity of minimal graphs in the hyperbolic space

Qing Han, Weiming Shen, Yue Wang

arxiv:1511.01143 v1 · 2015-11-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WABKTEIODLQABZIFTAQWHPO7XT}

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	2026-05-18T01:27:47.975527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b002a9910e1ae000e505982163bddfbcf1f0341e5c4a2c91e63bc7cffcbf1755

Aliases

arxiv: 1511.01143 · arxiv_version: 1511.01143v1 · doi: 10.48550/arxiv.1511.01143 · pith_short_12: WABKTEIODLQA · pith_short_16: WABKTEIODLQABZIF · pith_short_8: WABKTEIO

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/WABKTEIODLQABZIFTAQWHPO7XT \
  | 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: b002a9910e1ae000e505982163bddfbcf1f0341e5c4a2c91e63bc7cffcbf1755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e617776c6d0dbb08d0446dc74166122db0b4f06fed632d10a6f572eba56ccca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-03T22:28:33Z",
    "title_canon_sha256": "197551c09d446ebb9c169ffc34836260a106f519ec01a5a3851cab74a79dec8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01143",
    "kind": "arxiv",
    "version": 1
  }
}