Pith Number

pith:RZ6VRIP7

pith:2015:RZ6VRIP72DZUSTHBGMHWDYFDHH

not attested not anchored not stored refs pending

Sampling solutions of Schr\"odinger equations on combinatorial graphs

Isaac Z. Pesenson

arxiv:1502.07688 v2 · 2015-02-12 · 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{RZ6VRIP72DZUSTHBGMHWDYFDHH}

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	2026-05-18T02:17:23.943767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7d58a1ffd0f3494ce1330f61e0a339e59ba696e579922d51b6faea6c583ce2

Aliases

arxiv: 1502.07688 · arxiv_version: 1502.07688v2 · doi: 10.48550/arxiv.1502.07688 · pith_short_12: RZ6VRIP72DZU · pith_short_16: RZ6VRIP72DZUSTHB · pith_short_8: RZ6VRIP7

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/RZ6VRIP72DZUSTHBGMHWDYFDHH \
  | 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: 8e7d58a1ffd0f3494ce1330f61e0a339e59ba696e579922d51b6faea6c583ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb15657796e217e69b6911ca57d2f445c102ddbced02e91097802f2a2d9cadd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-02-12T13:28:08Z",
    "title_canon_sha256": "41950ea28613bb8e4ae62cb3fb2df56343124e748f5437e5a80c7f32182f6b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07688",
    "kind": "arxiv",
    "version": 2
  }
}