Pith Number

pith:2ECKPJKS

pith:2017:2ECKPJKSEIXIWV3U7MEM6L5QXZ

not attested not anchored not stored refs pending

Local-global principles in circle packings

Elena Fuchs, Katherine E. Stange, Xin Zhang

arxiv:1707.06708 v2 · 2017-07-20 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ECKPJKSEIXIWV3U7MEM6L5QXZ}

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	2026-05-17T23:45:41.336223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d104a7a552222e8b5774fb08cf2fb0be506c3e6db1f032cb942e325fe00d9ce9

Aliases

arxiv: 1707.06708 · arxiv_version: 1707.06708v2 · doi: 10.48550/arxiv.1707.06708 · pith_short_12: 2ECKPJKSEIXI · pith_short_16: 2ECKPJKSEIXIWV3U · pith_short_8: 2ECKPJKS

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/2ECKPJKSEIXIWV3U7MEM6L5QXZ \
  | 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: d104a7a552222e8b5774fb08cf2fb0be506c3e6db1f032cb942e325fe00d9ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aecccdffad78d15414b075a9653e342b44d9feee7e4697fc8ec9f089ceae27a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-20T21:13:23Z",
    "title_canon_sha256": "ec126182273a9e574a5497ed72c2c4bb79e3371bc707749525e5f0cefa43bb81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06708",
    "kind": "arxiv",
    "version": 2
  }
}