Pith Number

pith:IMVTWTQF

pith:2008:IMVTWTQFE6IZU72DYBFP2HIN6L

not attested not anchored not stored refs pending

Weak Finsler Strutures and the Funk Metric

Athanase Papadopoulos, Marc Troyanov

arxiv:0804.0705 v1 · 2008-04-04 · 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{IMVTWTQFE6IZU72DYBFP2HIN6L}

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	2026-05-18T02:15:54.023932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

432b3b4e0527919a7f43c04afd1d0df2ef705654c7c2801d88e18e474d687c62

Aliases

arxiv: 0804.0705 · arxiv_version: 0804.0705v1 · doi: 10.48550/arxiv.0804.0705 · pith_short_12: IMVTWTQFE6IZ · pith_short_16: IMVTWTQFE6IZU72D · pith_short_8: IMVTWTQF

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/IMVTWTQFE6IZU72DYBFP2HIN6L \
  | 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: 432b3b4e0527919a7f43c04afd1d0df2ef705654c7c2801d88e18e474d687c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8803d70934415ac5cf6af0736da4cf68b1e0de0267b5485ef798ee03c8f47caf",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-04-04T12:06:19Z",
    "title_canon_sha256": "bd0ceeb902bbced737403921c9e669e9f3bde8a7421ae129624b4c1cf872e5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0705",
    "kind": "arxiv",
    "version": 1
  }
}