Pith Number

pith:DJHTQFJ3

pith:2004:DJHTQFJ3GPPK2MMEF5ANS6VNZK

not attested not anchored not stored refs pending

Ritt's theorem and the Heins map in hyperbolic complex manifolds

Filippo Bracci, Marco Abate

arxiv:math/0411086 v1 · 2004-11-04 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJHTQFJ3GPPK2MMEF5ANS6VNZK}

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	2026-05-18T01:38:27.060239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4f38153b33dead31842f40d97aadca973f41533fc68e9bbba4cfe42a74e6c0

Aliases

arxiv: math/0411086 · arxiv_version: math/0411086v1 · doi: 10.48550/arxiv.math/0411086 · pith_short_12: DJHTQFJ3GPPK · pith_short_16: DJHTQFJ3GPPK2MME · pith_short_8: DJHTQFJ3

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/DJHTQFJ3GPPK2MMEF5ANS6VNZK \
  | 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: 1a4f38153b33dead31842f40d97aadca973f41533fc68e9bbba4cfe42a74e6c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834204d0caf22c53816cdf059062b362569ddc599d9c09c25d845b8b41df307f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2004-11-04T11:20:27Z",
    "title_canon_sha256": "608c45f578609a5a4775c1b395899cc42cca441c196a731c8bf496cb81fa8da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411086",
    "kind": "arxiv",
    "version": 1
  }
}