Pith Number

pith:D643EFZJ

pith:2017:D643EFZJ56Z2Q73GMDGQR4K5MU

not attested not anchored not stored refs pending

What is the meaning of the graph energy after all?

Ernesto Estrada, Michele Benzi

arxiv:1704.00779 v1 · 2017-04-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D643EFZJ56Z2Q73GMDGQR4K5MU}

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	2026-05-18T00:47:19.260395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb9b21729efb3a87f6660cd08f15d651deb8e0f490c5e7bce6f523c66b4e5d4

Aliases

arxiv: 1704.00779 · arxiv_version: 1704.00779v1 · doi: 10.48550/arxiv.1704.00779 · pith_short_12: D643EFZJ56Z2 · pith_short_16: D643EFZJ56Z2Q73G · pith_short_8: D643EFZJ

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/D643EFZJ56Z2Q73GMDGQR4K5MU \
  | 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: 1fb9b21729efb3a87f6660cd08f15d651deb8e0f490c5e7bce6f523c66b4e5d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a5f9c9be85ffd92f0b530343901cf3ebd9790af8360e87b1211831ab6d7d32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-03T19:29:31Z",
    "title_canon_sha256": "ca5642e5c7dbb3e8ff41828142ab4d9205f5047d382b582b1e93a1845902754c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00779",
    "kind": "arxiv",
    "version": 1
  }
}