Pith Number

pith:THRKCE23

pith:2010:THRKCE23G3LIR2GS6BVSLVXTVA

not attested not anchored not stored refs pending

On isometries of the Kobayashi and Carath\'{e}odory metrics

Prachi Mahajan

arxiv:1009.2414 v2 · 2010-09-13 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THRKCE23G3LIR2GS6BVSLVXTVA}

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	2026-05-18T04:40:55.718939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e2a1135b36d688e8d2f06b25d6f3a823ef40f9030e5851d28e0da7bfdf65f7

Aliases

arxiv: 1009.2414 · arxiv_version: 1009.2414v2 · doi: 10.48550/arxiv.1009.2414 · pith_short_12: THRKCE23G3LI · pith_short_16: THRKCE23G3LIR2GS · pith_short_8: THRKCE23

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/THRKCE23G3LIR2GS6BVSLVXTVA \
  | 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: 99e2a1135b36d688e8d2f06b25d6f3a823ef40f9030e5851d28e0da7bfdf65f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9047eb17b4018a85971e8b422062e3515cfb81b460bc5f36fc6a47c447c743d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-13T15:06:24Z",
    "title_canon_sha256": "1943020eb780949c3e9ff1b836bad7ee7b82f26a31e4c5dd3552a3296474e648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2414",
    "kind": "arxiv",
    "version": 2
  }
}