Pith Number

pith:DUHKOBXT

pith:2013:DUHKOBXT3T76S3XTQKP7DLUXN4

not attested not anchored not stored refs pending

New relations between discrete and continuous transition operators on (metric) graphs

Daniel Lenz, Konstantin Pankrashkin

arxiv:1305.7491 v1 · 2013-05-31 · math.SP · 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{DUHKOBXT3T76S3XTQKP7DLUXN4}

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	2026-05-18T01:19:18.884659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0ea706f3dcffe96ef3829ff1ae976f3f533e9622efd4139255b3df02beff1b

Aliases

arxiv: 1305.7491 · arxiv_version: 1305.7491v1 · doi: 10.48550/arxiv.1305.7491 · pith_short_12: DUHKOBXT3T76 · pith_short_16: DUHKOBXT3T76S3XT · pith_short_8: DUHKOBXT

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/DUHKOBXT3T76S3XTQKP7DLUXN4 \
  | 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: 1d0ea706f3dcffe96ef3829ff1ae976f3f533e9622efd4139255b3df02beff1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d69bab57efd4eb96d452b9b47bef626e5c69412e856cf0d0af54c8215382890",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-05-31T17:23:48Z",
    "title_canon_sha256": "95e371aec1b66c3b8df88095e257a754b12bc452596d645972e090136cb0d1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7491",
    "kind": "arxiv",
    "version": 1
  }
}