Pith Number

pith:M7UH35OE

pith:2006:M7UH35OEJ3AXJFNPIYK3IHWAWH

not attested not anchored not stored refs pending

Triangle inequalities in path metric spaces

Michael Kapovich

arxiv:math/0611118 v1 · 2006-11-06 · math.MG · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7UH35OEJ3AXJFNPIYK3IHWAWH}

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	2026-05-18T02:37:59.511216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e87df5c44ec17495af4615b41ec0b1c610040286e26a2258f84d4a797cfc1b

Aliases

arxiv: math/0611118 · arxiv_version: math/0611118v1 · doi: 10.48550/arxiv.math/0611118 · pith_short_12: M7UH35OEJ3AX · pith_short_16: M7UH35OEJ3AXJFNP · pith_short_8: M7UH35OE

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/M7UH35OEJ3AXJFNPIYK3IHWAWH \
  | 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: 67e87df5c44ec17495af4615b41ec0b1c610040286e26a2258f84d4a797cfc1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeb9ecc40471e143abf851e289efa29478a2b4dbeb4cafb5153ecae4ab05eb2c",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2006-11-06T10:06:47Z",
    "title_canon_sha256": "474dc9c5900d8a80ec5fa0b1aca39a661f55e96ee6666eb152183f19057131f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611118",
    "kind": "arxiv",
    "version": 1
  }
}