Pith Number

pith:JT4EVZC4

pith:2016:JT4EVZC4VLDG6TP7MG2VUFCPDD

not attested not anchored not stored refs pending

On coalescence time in graphs--When is coalescing as fast as meeting?

Frederik Mallmann-Trenn, Thomas Sauerwald, Varun Kanade

arxiv:1611.02460 v4 · 2016-11-08 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JT4EVZC4VLDG6TP7MG2VUFCPDD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:01:43.983409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf84ae45caac66f4dff61b55a144f18db62b984f54ad669a1387fedf70025cc

Aliases

arxiv: 1611.02460 · arxiv_version: 1611.02460v4 · doi: 10.48550/arxiv.1611.02460 · pith_short_12: JT4EVZC4VLDG · pith_short_16: JT4EVZC4VLDG6TP7 · pith_short_8: JT4EVZC4

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/JT4EVZC4VLDG6TP7MG2VUFCPDD \
  | 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: 4cf84ae45caac66f4dff61b55a144f18db62b984f54ad669a1387fedf70025cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f811ab282afcc1b3dbd9362b0b081a6a0650f06423f98e37be25167d3c4b85",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-11-08T10:05:53Z",
    "title_canon_sha256": "86465177dd7418580604f14443600dcf1f9fca48da4e3908563ffa30741bd89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02460",
    "kind": "arxiv",
    "version": 4
  }
}