Pith Number

pith:XITYELGZ

pith:2014:XITYELGZBPSEXYQA5UHDVGKTU3

not attested not anchored not stored refs pending

Existence of mark functions in marked metric measure spaces

Sandra Kliem, Wolfgang L\"ohr

arxiv:1412.2039 v2 · 2014-12-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XITYELGZBPSEXYQA5UHDVGKTU3}

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	2026-05-18T01:37:47.370120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba27822cd90be44be200ed0e3a9953a6e91b7841760d1ce12e6f71c7e351cbb5

Aliases

arxiv: 1412.2039 · arxiv_version: 1412.2039v2 · doi: 10.48550/arxiv.1412.2039 · pith_short_12: XITYELGZBPSE · pith_short_16: XITYELGZBPSEXYQA · pith_short_8: XITYELGZ

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/XITYELGZBPSEXYQA5UHDVGKTU3 \
  | 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: ba27822cd90be44be200ed0e3a9953a6e91b7841760d1ce12e6f71c7e351cbb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bcc1a9785d3c91d966174fb893c65ccddf13b5a94a371a0ba27f73003b1b8f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-05T16:01:20Z",
    "title_canon_sha256": "a62f4980c96cfc5d4e78a0b1d38e6e488acad09641d50e1d222200419e3839bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2039",
    "kind": "arxiv",
    "version": 2
  }
}