Pith Number

pith:M4OBDCXP

pith:2013:M4OBDCXPSAKFLOO4ITGPW33MWY

not attested not anchored not stored refs pending

Asymmetry in Hilbert's fourth problem

Juan-Carlos Alvarez Paiva

arxiv:1301.2524 v1 · 2013-01-11 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4OBDCXPSAKFLOO4ITGPW33MWY}

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	2026-05-18T03:36:37.667250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671c118aef901455b9dc44ccfb6f6cb60a0ac90b262e425905803fa7fec27b37

Aliases

arxiv: 1301.2524 · arxiv_version: 1301.2524v1 · doi: 10.48550/arxiv.1301.2524 · pith_short_12: M4OBDCXPSAKF · pith_short_16: M4OBDCXPSAKFLOO4 · pith_short_8: M4OBDCXP

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/M4OBDCXPSAKFLOO4ITGPW33MWY \
  | 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: 671c118aef901455b9dc44ccfb6f6cb60a0ac90b262e425905803fa7fec27b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e159d7aa32eea0eab0303e8909825a70531e9679fd0eb318d731b91117dbf3b4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-11T15:53:29Z",
    "title_canon_sha256": "8ab3e888da5b4088d61771cfae3e3ff08b6d80553d742b84f3eb9e5bbfb04f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2524",
    "kind": "arxiv",
    "version": 1
  }
}