Pith Number

pith:EUZVUMJP

pith:2010:EUZVUMJPS4UZC4ELHPYEG6I3DV

not attested not anchored not stored refs pending

A solution to an Ambarzumyan problem on trees

C.K. Law, Eiji Yanagida

arxiv:1009.6152 v1 · 2010-09-30 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUZVUMJPS4UZC4ELHPYEG6I3DV}

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	2026-05-18T04:40:00.990858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25335a312f972991708b3bf043791b1d45299fe8884a61d34482b25f536589f1

Aliases

arxiv: 1009.6152 · arxiv_version: 1009.6152v1 · doi: 10.48550/arxiv.1009.6152 · pith_short_12: EUZVUMJPS4UZ · pith_short_16: EUZVUMJPS4UZC4EL · pith_short_8: EUZVUMJP

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/EUZVUMJPS4UZC4ELHPYEG6I3DV \
  | 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: 25335a312f972991708b3bf043791b1d45299fe8884a61d34482b25f536589f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980b574425400ddfebf79c184d1588f9824143627b16c22649738dd652668973",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-09-30T14:45:40Z",
    "title_canon_sha256": "b12336cfaa80f706d9340b3457938a289bcbbae1bb3f6a5505633930a42da043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6152",
    "kind": "arxiv",
    "version": 1
  }
}