Pith Number

pith:USKPVJ2T

pith:2006:USKPVJ2TLM6C75NDM4BQVNLFXW

not attested not anchored not stored refs pending

Toric Degenerations of GIT Quotients, Chow Quotients, and $\bar{M_{0,n}$

Yi Hu

arxiv:math/0607824 v1 · 2006-07-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USKPVJ2TLM6C75NDM4BQVNLFXW}

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	2026-07-04T14:56:03.743032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a494faa7535b3c2ff5a367030ab565bd9e619825e006b9709b7a033f87706f8d

Aliases

arxiv: math/0607824 · arxiv_version: math/0607824v1 · doi: 10.48550/arxiv.math/0607824 · pith_short_12: USKPVJ2TLM6C · pith_short_16: USKPVJ2TLM6C75ND · pith_short_8: USKPVJ2T

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/USKPVJ2TLM6C75NDM4BQVNLFXW \
  | 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: a494faa7535b3c2ff5a367030ab565bd9e619825e006b9709b7a033f87706f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937e77f379afa89b3467af9e373de3a2f455f16d448814ce195ede18e43f709b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-07-31T19:32:24Z",
    "title_canon_sha256": "7c5ed82b7d8e677eacfd4568d74cab80a6171578cab9f7213d3627e0e9580c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607824",
    "kind": "arxiv",
    "version": 1
  }
}