Pith Number

pith:Y3A77R67

pith:2017:Y3A77R67FMEUF3PTBO34UZNLAF

not attested not anchored not stored refs pending

Resonances on regular tree graphs

Amal Taarabt, Diomba Sambou, Olivier Bourget

arxiv:1708.08032 v1 · 2017-08-27 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3A77R67FMEUF3PTBO34UZNLAF}

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	2026-05-18T00:36:37.226230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c1ffc7df2b0942edf30bb7ca65ab0148f0b18884b8fb3b45eda26fe1669d2e

Aliases

arxiv: 1708.08032 · arxiv_version: 1708.08032v1 · doi: 10.48550/arxiv.1708.08032 · pith_short_12: Y3A77R67FMEU · pith_short_16: Y3A77R67FMEUF3PT · pith_short_8: Y3A77R67

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/Y3A77R67FMEUF3PTBO34UZNLAF \
  | 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: c6c1ffc7df2b0942edf30bb7ca65ab0148f0b18884b8fb3b45eda26fe1669d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc9a634a5a8cc8fdd386267b5b7b3d5faf45aed7448462d95155880c2d0a40a4",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-27T01:38:08Z",
    "title_canon_sha256": "324ec7b534e98432ef3a800bf8aedc52a68d0c7f6bc3a9786ab2d774cccca535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08032",
    "kind": "arxiv",
    "version": 1
  }
}