Pith Number

pith:6L7M3LNI

pith:2019:6L7M3LNIVGJ6NWLSSCNXD5SEPG

not attested not anchored not stored refs pending

TG-Hyperbolicity of Virtual Links

Colin Adams, Jonah Greenberg, Kabir Kapoor, Kate O'Connor, Natalia Pacheco-Tallaj, Or Eisenberg, Yi Wang, Zhen Liang

arxiv:1904.06385 v1 · 2019-04-12 · 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{6L7M3LNIVGJ6NWLSSCNXD5SEPG}

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	2026-05-17T23:48:41.473765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2fecdada8a993e6d972909b71f64479a39aecb0d2f4c7e918667b2f5d00a753

Aliases

arxiv: 1904.06385 · arxiv_version: 1904.06385v1 · doi: 10.48550/arxiv.1904.06385 · pith_short_12: 6L7M3LNIVGJ6 · pith_short_16: 6L7M3LNIVGJ6NWLS · pith_short_8: 6L7M3LNI

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/6L7M3LNIVGJ6NWLSSCNXD5SEPG \
  | 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: f2fecdada8a993e6d972909b71f64479a39aecb0d2f4c7e918667b2f5d00a753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0ad99af0548a1ea0a403c63218a6748969896ab39862b020f93f66db07359ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-12T19:24:12Z",
    "title_canon_sha256": "8a35bd8acc862c30c441b16f40d724ab696280262c8a33294b31996e75966cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06385",
    "kind": "arxiv",
    "version": 1
  }
}