Pith Number

pith:TTJIU4Q5

pith:2026:TTJIU4Q5H3C3SPTABLDPSVWQGQ

not attested not anchored not stored refs pending

The Schr\"odinger problem on metric graphs

Jan-F. Pietschman, Juliane Krautz

arxiv:2607.00655 v1 · 2026-07-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTJIU4Q5H3C3SPTABLDPSVWQGQ}

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	2026-07-02T01:17:50.504857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd28a721d3ec5b93e600ac6f956d03417c523bcc73271ffc510794bbafadff5

Aliases

arxiv: 2607.00655 · arxiv_version: 2607.00655v1 · doi: 10.48550/arxiv.2607.00655 · pith_short_12: TTJIU4Q5H3C3 · pith_short_16: TTJIU4Q5H3C3SPTA · pith_short_8: TTJIU4Q5

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/TTJIU4Q5H3C3SPTABLDPSVWQGQ \
  | 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: 9cd28a721d3ec5b93e600ac6f956d03417c523bcc73271ffc510794bbafadff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bad2af30bad168cb16d9cd3e29bd9ff5e013292be30271bc071a7111f817dca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-01T09:07:16Z",
    "title_canon_sha256": "c705921fb45a99fab96c8bda6a72b1e620baedf4b535c8174952bb3b4cacb7f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00655",
    "kind": "arxiv",
    "version": 1
  }
}